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Luís Filipe Pinheiro de Castro, born in 1968, received the Diploma (Licenciatura) Degree from the University of Aveiro, Portugal, in 1991, the M.Sc. and Ph.D. degrees in Applied Mathematics and Mathematics from Instituto Superior Técnico, Technical University of Lisbon (now University of Lisbon), in 1994 and 1998, respectively. In 2004, he received the Habilitation (¿Agregação¿) Degree from University of Aveiro. Luís Castro has a great deal of experience in the area of university management, having held influential positions such as Vice-President of the Directive Council of Department of Mathematics of University of Aveiro (1998-2000), Vice-President of the Directive Board of the Centre Delegation of the Portuguese Mathematical Society (2000-2002), President of the Scientific-Pedagogic Council of Department of Mathematics of University of Aveiro (2001-2003), Coordinator of the Scientific Committee of Department of Mathematics of University of Aveiro (2001-2003), Scientific Coordinator of the Research Unit Mathematics and Applications, which had 55 Ph.D. members and 82 elements in total (2006 ¿ 2010), Scientific Coordinator of CIDMA - Center for Research and Development in Mathematics and Applications (2010-2018), which had more than 80 Ph.D. integrated members and over 140 elements in total (see http://cidma.mat.ua.pt/), Adjunct President of the Scientific Council of University of Aveiro (2016-2018). Luís Castro has more than 20 years of teaching experience in Mathematics at B.Sc., M.Sc. and Ph.D. levels. Luis Castro¿s commitment to teaching won him systematic evaluations above 80% (and very frequently above 90%) in the University of Aveiro official inquiry to the students (as well as two informal prizes from the students of Department of Mathematics of University of Aveiro). Luís Castro¿s research interests include several topics in the areas of Boundary Value Problems, Operator Theory, Functional Analysis, Integral and Differential Equations, and Mathematical-Physics. Luís Castro has been member of the Editorial Board of several mathematical journals, has contributed over 150 peer-reviewed papers, and gave more than 120 talks at research seminars or international conferences. He supervised 6 Ph.D. students and served as adviser for 5 post-docs. Luís Castro has more than 20 participations in organizing committees of scientific meetings, and over 15 participations in scientific committees of scientific meetings. He has produced more than 320 scientific reports for Zentralblatt MATH and more than 190 reviews for MathSciNet - Mathematical Reviewers (AMS), as well as hundreds of reviews for more than 125 (different) scientific journals. During one term, from May 8, 2018 to May 18, 2022, he was Vice-Rector of the University of Aveiro (for the promotion of Quality, Communication, Effectiveness and Efficiency of the University). He has been a Full Professor of Mathematics since 2009.
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Identification

Personal identification

Full name
LUÍS FILIPE PINHEIRO DE CASTRO

Citation names

  • Luís Castro
  • L. P. Castro
  • Luis P. Castro
  • Luis Pinheiro de Castro

Author identifiers

Ciência ID
7111-EF1A-2B3C
ORCID iD
0000-0002-4261-8699
Researcher Id
A-5442-2008
Scopus Author Id
7202228678

Addresses

  • Universidade de Aveiro, 3810-193, Aveiro, Aveiro, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics
Education
Degree Classification
2004/11/26
Concluded
 Matemática (Título de Agregado)
Major in Mathematics
Universidade de Aveiro, Portugal
 Approved
1995/10/10 - 1998/07/08
Concluded
 Matemática (Doutoramento)
Major in Mathematical Analysis
Universidade de Lisboa Instituto Superior Técnico, Portugal
"Relations Between Singular Operators and Applications" (THESIS/DISSERTATION)
 Approved
1992/10/01 - 1994/07/25
Concluded
 Matemática Aplicada (Mestrado)
Major in Functional Analysis
Universidade de Lisboa Instituto Superior Técnico, Portugal
 Very Good
1986/10/01 - 1991/07/09
Concluded
 Matemática (Ensino de) (Licenciatura)
Universidade de Aveiro, Portugal
 16
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2009/06/24 - Current Full Professor (University Teacher) Universidade de Aveiro, Portugal
2002/11/14 - 2009/06/23 Associate Professor (University Teacher) Universidade de Aveiro, Portugal
1998/07/08 - 2002/11/13 Assistant Professor (University Teacher) Universidade de Aveiro, Portugal
1994 - 1998/07/07 Assistant (University Teacher) Universidade de Aveiro, Portugal
1991/10/01 - 1992/09/30 Trainee Assistant (University Teacher) Universidade de Aveiro, Portugal

Positions / Appointments

Category
Host institution 		Employer
2018/05/08 - 2022/05/18 Vice-Rector Universidade de Aveiro, Portugal
2018/05/08 - 2022/05/18 Membro do Conselho de Gestão da Universidade de Aveiro Universidade de Aveiro, Portugal
2016/06/01 - 2018/05/07 Membro (eleito) do Conselho Coordenador de Avaliação de Desempenho da Universidade de Aveiro Universidade de Aveiro, Portugal
2015/04/15 - 2018/05/07 Conselho científico/técnico-científico ou orgão correspondente Universidade de Aveiro, Portugal
2013 - 2014 Coordenação ou direção de centro de investigação, departamento ou equivalente Universidade de Aveiro, Portugal
2006/01/01 - 2009/12/31 Coordenação ou direção de centro de investigação, departamento ou equivalente Universidade de Aveiro, Portugal
2001 - 2003 Coordenador da Comissão Científica do Departamento de Matemática Universidade de Aveiro, Portugal

Others

Category
Host institution 		Employer
2018/05/08 - 2021/12/31 Membro do Conselho de Gerência da GrupUNAVE -- Inovação e Serviços Lda. Universidade de Aveiro, Portugal
2016/07/03 - 2018/05/07 Presidente-Adjunto do Conselho Científico da Universidade de Aveiro Universidade de Aveiro, Portugal
2015/01/01 - 2018/05/07 Coordenador Científico de UI&D Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2016 - 2018 Membro do Conselho da Escola Doutoral da Universidade de Aveiro Universidade de Aveiro, Portugal
2010/01/01 - 2014/12/31 Coordenador Científico de UI&D Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2001 - 2003 Presidente do Conselho Pedagógico-Científico do Departamento de Matemática Universidade de Aveiro, Portugal
2000 - 2002 Vice-Presidente da Direção da Delegação Regional do Centro da Sociedade Portuguesa de Matemática Sociedade Portuguesa de Matemática, Portugal
1998 - 2000 Vogal do Conselho Diretivo do Departamento de Matemática Universidade de Aveiro, Portugal
Projects

Contract

Designation Funders
2019/11/01 - 2022/10/31 ECIU University
Code: 612521-EPP-1-2019-1-NL-EPPKA2-EUR-UNIV
Concluded
2019/01/01 - 2019/12/31 Centro de Investigação e Desenvolvimento em Matemática e Aplicações
UID/MAT/04106/2019
Universidade de Aveiro, Portugal

Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2015/01/01 - 2018/12/31 Centro de Investigação e Desenvolvimento em Matemática e Aplicações
UID/MAT/04106/2013
Universidade de Aveiro, Portugal

Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2014/01/01 - 2014/12/31 Projecto Estratégico - UI 4106 - 2014
PEst-OE/MAT/UI4106/2014
Universidade de Aveiro, Portugal

Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2013/12/31 Projecto Estratégico - UI 4106 - 2011-2012
PEst-C/MAT/UI4106/2011
Universidade de Aveiro, Portugal

Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2005/07/01 - 2008/12/30 INCLUSÕES DIFERENCIAIS E PROBLEMAS VARIACIONAIS
POCI/MAT/55524/2004
Universidade de Aveiro, Portugal

Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book
  1. Bastos, M.A.; L. P. Castro; Karlovich, Alexei. Operator Theory, Functional Analysis and Applications. Birkhäuser Cham. 2021.
    10.1007/978-3-030-51945-2
  2. Almeida, A.; CASTRO, LUÍS; Speck, F.-O.. Advances in Harmonic Analysis and Operator Theory.. Birkhäuser Basel. 2013.
    10.1007/978-3-0348-0516-2
Book chapter
  1. Luís Castro; Guerra, R. C.; Tuan, N. M.. "On a Class of Integral Equations Involving Kernels of Cosine and Sine Type". In Integral Methods in Science and Engineering, Volume 1, 47-57. Cham, Germany: Springer International Publishing, 2017.
    Published • 10.1007/978-3-319-59384-5_5
  2. Castro, L.P.; Fujiwara, H.; Rodrigues, M.M.; Saitoh, S.; Tuan, V.K.. "Reproducing kernels and discretization". In Current Trends in Analysis and Its Applications. 2015.
    10.1007/978-3-319-12577-0-61
  3. Castro, L.P.; Rodrigues, M.M.; Saitoh, S.. "Initial value problems in linear integral operator equations". In Topics in Mathematical Analysis and Applications. Springer International Publishing, 2014.
    10.1007/978-3-319-06554-0__7
  4. Castro, L.P.; Fujiwara, H.; Rodrigues, M.M.; Saitoh, S.; Tuan, V.K.. "Aveiro discretization method in mathematics: A new discretization principle". In Mathematics Without Boundaries. 2014.
    10.1007/978-1-4939-1106-6_3
  5. Castro, L.P.; Duduchava, R.; Speck, F.-O.. "Diffraction from polygonal-conical screens, an operator approach". In Operator Theory, Operator Algebras and Applications. Springer Basel, 2014.
  6. Castro, L.P.; Fujiwara, H.; Qian, T.; Saitoh, S.. "How to catch smoothing properties and analyticity of functions by computers?". In Mathematics Without Boundaries. Springer New York, 2014.
    10.1007/978-1-4939-1124-0_4
  7. CASTRO, LUÍS; Fujiwara, H.; Saitoh, S.; Sawano, Y.; Yamada, A.; Yamada, M.. "Fundamental error estimate inequalities for the Tikhonov regularization using reproducing kernels.". 2012.
    10.1007/978-3-0348-0249-9_6
  8. L. P. Castro; Silva, Anabela. "Wiener-Hopf-Hankel operators with piecewise continuous Fourier Symbols on variable exponent Lebesgue spaces". In Interactions between Real and Complex Analysis, 243-255. Ha Noi, Vietnam: L.H. Son, W. Tutschke, edts, Science and Technics Publishing House, Ministry for Science and Technology of Vietnam, 2012.
    Published
  9. Castro, L.P.; Ramos, A.. "Hyers-Ulam and Hyers-Ulam-Rassias stability of Volterra integral equations with delay". In Integral Methods in Science and Engineering. 2010.
    10.1007/978-0-8176-4899-2-9
  10. Bogveradze, G.; Castro, L. P.. "On the Fredholm index of matrix Wiener-Hopf plus/minus Hankel operators with semi-almost periodic symbols". In Operator Algebras, Operator Theory and Applications. Birkhäuser Basel, 2010.
    10.1007/978-3-7643-8684-9_5
  11. Bogveradze, G.; Castro, L. P.. "Fredholm Characterization of Wiener-Hopf-Hankel Integral Operators with Piecewise Almost Periodic Symbols". In INTEGRAL METHODS IN SCIENCE AND ENGINEERING, VOL 1: ANALYTIC METHODS. 2010.
    10.1007/978-0-8176-4899-2_7
  12. de Castro, L. P.; Speck, F. O.. "Well-posedness of diffraction problems involving n coplanar strips". In Singular Integral Operators, Factorization and Applications. Birkhäuser Basel, 2003.
    10.1007/978-3-0348-8007-7_4
  13. CASTRO, LUÍS. "Solution of a Wave Diffraction Problem by a Magnetic Strip". In Mathematical and Numerical Aspects of Wave Propagation. SIAM, 2000.
  14. CASTRO, LUÍS. "Integral Equations of Convolution Type on Unions of Intervals". In Pitman Research Notes in Mathematics. London, United Kingdom: Pitman, 1997.
Conference abstract
  1. L. P. Castro; Silva, Anabela. "On the Ulam, Hyers and Rassias stabilities for a Caputo fractional boundary value problem of order greater than two". Paper presented in International Conference on Mathematical Analysis and Applications in Science and Engineering ¿ ICMA2SC'22, 2022.
    Published
Conference paper
  1. Castro, L.P.; Silva, A.S.; Tuan, N.M.. "New convolutions for an oscillatory integral operator on the half-line". 2018.
    10.1063/1.5081535
  2. Castro, L.P.; Minh, L.T.; Tuan, N.M.. "Convolutions and applications for the offset linear canonical transform via Hermite weights". 2018.
    10.1063/1.5081534
  3. Castro, L.P.; Simões, A.M.. "Stabilities for a class of higher order integro-differential equations". 2018.
    10.1063/1.5081532
  4. Castro, L.P.; Guerra, R.C.; Tuan, N.M.. "On integral operators and equations generated by cosine and sine Fourier transforms". 2018.
    10.1063/1.5081533
  5. Castro, L.P.; Silva, A.S.. "Odd asymmetric factorization of Wiener-Hopf plus Hankel operators on variable exponent Lebesgue spaces". 2017.
    10.1063/1.4972630
  6. Anh, P.K.; Castro, L.P.; Thao, P.T.; Tuan, N.M.. "Inequalities and consequences of new convolutions for the fractional Fourier transform with Hermite weights". 2017.
    10.1063/1.4972598
  7. Castro, L.P.; Guerra, R.C.; Tuan, N.M.. "Heisenberg uncertainty principles for an oscillatory integral operator". 2017.
    10.1063/1.4972629
  8. Castro, L.P.; Simões, A.M.. "Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations". 2017.
    10.1063/1.4972628
  9. Castro, L. P.; Rodrigues, M. M.; Saitoh, S.. "A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework". 2014.
    10.1063/1.4904575
  10. Castro, L.P.; Simões, A.M.. "The impedance problem of wave diffraction by a trip with higher order boundary conditions". 2013.
    10.1063/1.4827227
  11. Castro, L.P.; Simões, A.M.. "Integral equation methods in problems of wave diffraction by a strip with higher order reactance conditions". 2012.
    10.1063/1.4765595
  12. Castro, L.P.; Silva, A.S.. "On the invertibility of classes of integral operators via generalized factorizations". 2011.
    10.1063/1.3659926
  13. Silva, Anabela; L. P. Castro. "Wiener-Hopf-Hankel operators with semi-almost periodic symbols on weighted Lebesgue spaces". Paper presented in Proceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospace and Science, 2011.
    Published
  14. Castro, L.P.; Rojas, E.M.. "Bounds for the kernel dimension of singular integral operators with Carleman shift". 2010.
    10.1063/1.3526670
  15. Castro, L.P.; Silva, A.S.. "Fredholm index formula for a class of matrix wiener-hopf plus and minus hankel operators with symmetry". 2010.
    10.1007/978-0-8176-4899-2-10
  16. Castro, L.P.; Rojas, E.M.. "Invertibility of singular integral operators with flip through explicit operator relations". 2010.
    10.1007/978-0-8176-4899-2-11
  17. Castro, L.P.; Simões, A.M.. "On the solvability of a problem of wave diffraction by a union of a strip and a half-plane". 2010.
    10.1063/1.3526672
  18. Castro, L.P.; Silva, A.S.. "Wiener-Hopf plus Hankel operators with almost periodic symbols on weighted Lebesgue spaces". 2010.
    10.1063/1.3526671
  19. Castro, L.P.; Simões, A.M.. "Fredholm analysis for a wave diffraction problem with higher order boundary conditions on a union of strips". 2009.
    10.1063/1.3265361
  20. CASTRO, LUÍS. "Mathematical Treatment of a Plane Wave Diffraction Problem by a Soft Strip". Paper presented in VI Congress of Applied and Computational Mechanics, 2000.
    Published
  21. Castro, L. P.. "Wiener-Hopf Operators on Unions of Finite Intervals: Relations and Generalized Inversion". Paper presented in Matrix Analysis and Applications, 1997.
    Published
Journal article
  1. Luis P. Castro; Rita C. Guerra. "Donoho-Stark and Price uncertainty principles for a class of q-integral transforms with bounded kernels". Forum Mathematicum (2024): https://doi.org/10.1515/forum-2023-0244.
    10.1515/forum-2023-0244
  2. L. P. Castro; R. C. Guerra. "Uncertainty principles and integral equations associated with a quadratic-phase wavelet transform". Mathematical Methods in the Applied Sciences (2023): https://doi.org/10.1002/mma.9462.
    10.1002/mma.9462
  3. Luís P. Castro; Anabela S. Silva. "On the Existence and Stability of Solutions for a Class of Fractional Riemann-Liouville Initial Value Problems". Mathematics (2023): https://doi.org/10.3390/math11020297.
    10.3390/math11020297
  4. L.P. Castro; A.S. Silva. "Ulam-Hyers stability of four-point boundary value problem for Caputo fractional differential equations with a parameter". Vladikavkaz Mathematical Journal 24 4 (2022): 77-90. https://doi.org/10.46698/v3243-1645-4815-b.
    Open access • Published • 10.46698/v3243-1645-4815-b
  5. L. P. Castro; R. C. Guerra; N. M. Tuan. "Convolutions and integral equations weighted by multi-dimensional Hermite functions". Asian-European Journal of Mathematics 15 08 (2022): https://doi.org/10.1142/S1793557122501510.
    10.1142/S1793557122501510
  6. L. P. Castro; L. T. Minh; N. M. Tuan. "Filter design based on the fractional Fourier transform associated with new convolutions and correlations". Mathematical Sciences (2022): https://doi.org/10.1007/s40096-022-00462-4.
    10.1007/s40096-022-00462-4
  7. Castro, Luis P.; Silva, Anabela S.. "On the solution and Ulam-Hyers-Rassias stability of a Caputo fractional boundary value problem". Mathematical Biosciences and Engineering (2022): https://publons.com/wos-op/publon/56078353/.
    10.3934/MBE.2022505
  8. Luís Pinheiro Castro; Anabela Sousa Silva; Nguyen Minh Tuan. "New Convolutions with Hermite Weight Functions". Bulletin of the Iranian Mathematical Society (2021): https://doi.org/10.1007/s41980-020-00496-1.
    10.1007/s41980-020-00496-1
  9. Luís P. Castro; Navdeep Goel; Anabela S. Silva. "A new convolution operator for the linear canonical transform with applications". Computational and Applied Mathematics 40 3 (2021): https://doi.org/10.1007/s40314-021-01484-9.
    10.1007/s40314-021-01484-9
  10. Castro, L. P.; Simoes, A. M.. "A Hyers-Ulam Stability Analysis for Classes of Bessel Equations". Filomat (2021): https://publons.com/wos-op/publon/56078352/.
    10.2298/FIL2113391C
  11. Luis P. Castro; Rita C. Guerra; Nguyen Minh Tuan. "New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type". Mathematical Methods in the Applied Sciences (2020): https://doi.org/10.1002/mma.6236.
    10.1002/mma.6236
  12. L.P. Castro; Duduchava, R.; Speck, F.O.. "Mixed impedance boundary value problems for the Laplace-Beltrami equation". Journal of Integral Equations and Applications 32 3 (2020): 275-292. https://doi.org/10.1216/jie.2020.32.275.
    10.1216/jie.2020.32.275
  13. L. P. Castro; Silva, Anabela; Tuan, N. M.. "New convolutions associated with the Mellin transform and their applications in integral equations". Journal of Classical Analysis 2 (2020): 65-77. http://dx.doi.org/10.7153/jca-2020-16-08.
    10.7153/jca-2020-16-08
  14. P. K. Anh; L. P. Castro; P. T. Thao; N. M. Tuan. "New sampling theorem and multiplicative filtering in the FRFT domain". Signal, Image and Video Processing 13 5 (2019): 951-958. https://doi.org/10.1007/s11760-019-01432-5.
    10.1007/s11760-019-01432-5
  15. Luis Pinheiro de CASTRO; Rita Correia GUERRA; Nguyen Minh TUAN. "On Wiener's Tauberian theorems and convolution for oscillatory integral operators". TURKISH JOURNAL OF MATHEMATICS (2019): https://doi.org/10.3906/mat-1801-90.
    10.3906/mat-1801-90
  16. Castro, L.P.; Guerra, R.C.; Tuan, N.M.. "Convolution theorems related with the solvability of Wiener-Hopf plus Hankel integral equations and Shannon's sampling formula". Mathematica Slovaca 69 5 (2019): 1149-1164. http://www.scopus.com/inward/record.url?eid=2-s2.0-85073876108&partnerID=MN8TOARS.
    10.1515/ms-2017-0297
  17. Castro, L.P.; Pesetskaya, E.. "A composite material with inextensible-membrane-type interface". Mathematics and Mechanics of Solids 24 2 (2019): 499-510. http://www.scopus.com/inward/record.url?eid=2-s2.0-85045040407&partnerID=MN8TOARS.
    10.1177/1081286517746717
  18. Castro, L.P.; Guerra, R.C.; Tuan, N.M.. "New convolutions weighted by hermite functions and their applications". Mathematical Inequalities and Applications 22 2 (2019): 719-745. http://www.scopus.com/inward/record.url?eid=2-s2.0-85065531125&partnerID=MN8TOARS.
    10.7153/mia-2019-22-49
  19. Castro, L. P.; Simoes, A. M.. "Hyers-Ulam and Hyers-Ulam-Rassias Stability for a Class of Integro-Differential Equations". Advances in Dynamics, Patterns, Cognition: Challenges in Complexity (2019): https://publons.com/wos-op/publon/35123033/.
    10.1007/978-3-319-91065-9_3
  20. L. P. Castro; A. M. Simões. "Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric". Mathematical Methods in the Applied Sciences 41 17 (2018): 7367-7383. https://doi.org/10.1002/mma.4857.
    10.1002/mma.4857
  21. L. P. Castro; L. T. Minh; N. M. Tuan. "New Convolutions for Quadratic-Phase Fourier Integral Operators and their Applications". Mediterranean Journal of Mathematics 15 1 (2018): https://doi.org/10.1007/s00009-017-1063-y.
    10.1007/s00009-017-1063-y
  22. Anh, P.K.; Castro, L.P.; Thao, P.T.; Tuan, N.M.. "Two New Convolutions for the Fractional Fourier Transform". Wireless Personal Communications 92 2 (2017): 623-637. http://www.scopus.com/inward/record.url?eid=2-s2.0-84983503868&partnerID=MN8TOARS.
    10.1007/s11277-016-3567-3
  23. Castro, L.P.; Simões, A.M.. "Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations". Filomat 31 17 (2017): 5379-5390. http://www.scopus.com/inward/record.url?eid=2-s2.0-85038375029&partnerID=MN8TOARS.
    10.2298/FIL1717379C
  24. Castro, L.P.; Speck, F.-O.. "Convolution Type Operators with Symmetry in Bessel Potential Spaces". Operator Theory: Advances and Applications (2017): https://doi.org/10.1007/978-3-319-47079-5_2.
    10.1007/978-3-319-47079-5_2
  25. Castro, L.P.; Silva, A.S.. "Invertibility characterization of Wiener-Hopf plus Hankel operators on variable exponent Lebesgue spaces via even asymmetric factorization". Georgian Mathematical Journal 23 4 (2016): 477-488. http://www.scopus.com/inward/record.url?eid=2-s2.0-84995554814&partnerID=MN8TOARS.
    10.1515/gmj-2016-0048
  26. de Castro, L.F.P.; Pesetskaya, E.. "Properties of a composite material with mixed imperfect contact conditions". Mathematical Modelling and Analysis 21 3 (2016): 283-303. http://www.scopus.com/inward/record.url?eid=2-s2.0-84976528358&partnerID=MN8TOARS.
    10.3846/13926292.2016.1152611
  27. Castro, L.P.; Saitoh, S.; Yamada, A.. "Solutions of Tikhonov Functional Equations and Applications to Multiplication Operators on Szegö Spaces". Complex Analysis and Operator Theory 10 8 (2016): 1705-1723. http://www.scopus.com/inward/record.url?eid=2-s2.0-84962492760&partnerID=MN8TOARS.
    10.1007/s11785-016-0545-4
  28. L. P. Castro; Silva, Anabela. "On the kernels of Wiener-Hopf-Hankel operators on variable exponent Lebesgue spaces". Math. Eng. Sci. Aerosp. MESA 7 2 (2016): 375-386. http://sweet.ua.pt/castro/p/2016/2016CaSi.pdf.
    Published
  29. Castro, L.P.; Rojas, E.M.; Saitoh, S.; Tuan, N.M.; Tuan, P.D.. "Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case". Analysis and Applications 13 1 (2015): 1-21. http://www.scopus.com/inward/record.url?eid=2-s2.0-84929329585&partnerID=MN8TOARS.
    10.1142/S0219530514500468
  30. Castro, L.P.; Silva, A.S.. "Interplay of wiener-hopf and hankel operators with almost periodic fourier symbols on standard and variable exponent lebesgue spaces". Annals of Functional Analysis 6 2 (2015): 49-59. http://www.scopus.com/inward/record.url?eid=2-s2.0-84946417347&partnerID=MN8TOARS.
    10.15352/afa/06-2-5
  31. Castro, L.P.; Guerra, R.C.; Tuan, N.M.. "On integral operators generatedby the fourier transform and a reflection". Memoirs on Differential Equations and Mathematical Physics 66 (2015): 7-31. http://www.scopus.com/inward/record.url?eid=2-s2.0-84949462789&partnerID=MN8TOARS.
  32. Castro, L.P.; Kapanadze, D.; Pesetskaya, E.. "A heat conduction problem of 2D unbounded composites with imperfect contact conditions". ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik 95 9 (2015): 952-965. http://www.scopus.com/inward/record.url?eid=2-s2.0-84940789878&partnerID=MN8TOARS.
    10.1002/zamm.201400067
  33. Castro, L.P.; Kapanadze, D.. "Wave diffraction by wedges having arbitrary aperture angle". Journal of Mathematical Analysis and Applications 421 2 (2015): 1295-1314. http://www.scopus.com/inward/record.url?eid=2-s2.0-84922616397&partnerID=MN8TOARS.
    10.1016/j.jmaa.2014.07.080
  34. Castro, L.P.; Kapanadze, D.; Pesetskaya, E.. "Effective conductivity of a composite material with stiff imperfect contact conditions". Mathematical Methods in the Applied Sciences 38 18 (2015): 4638-4649. http://www.scopus.com/inward/record.url?eid=2-s2.0-84955174279&partnerID=MN8TOARS.
    10.1002/mma.3423
  35. Castro, L. P.; Guerra, R. C.; Tuan, N. M.. "ON INTEGRAL OPERATORS GENERATED BY THE FOURIER TRANSFORM AND A REFLECTION". Memoirs on Differential Equations and Mathematical Physics (2015): https://publons.com/wos-op/publon/26860321/.
  36. Castro, Luis; Silva, Anabela; Saitoh, Saburou. "A reproducing kernel Hilbert space constructive approximation for integral equations with Toeplitz and Hankel kernels". LIBERTAS MATHEMATICA (new series) (2014):
  37. Castro, L.P.; Kapanadze, D.. "Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary". Mathematical Methods in the Applied Sciences 37 10 (2014): 1412-1427. http://www.scopus.com/inward/record.url?eid=2-s2.0-84902257516&partnerID=MN8TOARS.
    10.1002/mma.2900
  38. Castro, L.P.; Kapanadze, D.. "Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundary". Communications in Mathematical Analysis 17 2 (2014): 45-65. http://www.scopus.com/inward/record.url?eid=2-s2.0-84919643582&partnerID=MN8TOARS.
  39. Castro, L.P.; Rodrigues, M.M.; Saitoh, S.. "A Fundamental Theorem on Initial Value Problems by Using the Theory of Reproducing Kernels". Complex Analysis and Operator Theory 9 1 (2014): 87-98. http://www.scopus.com/inward/record.url?eid=2-s2.0-84939890487&partnerID=MN8TOARS.
    10.1007/s11785-014-0375-1
  40. Castro, L. P.; Haque, M. R.; Murshed, M. M.; Saitoh, S.; Tuan, N. M.. "Quadratic Fourier Transforms". Annals of Functional Analysis 5 1 (2014): 10-23. http://dx.doi.org/10.15352/afa/1391614564.
    10.15352/afa/1391614564
  41. L. P. Castro; Guerra, R. C.. "Hyers-Ulam-Rassias stability of Volterra integral equations with delay within weighted spaces". Libertas Mathematica (New Series) (2014): https://publons.com/wos-op/publon/16535664/.
    10.14510/LM-NS.V33I2.50
  42. CASTRO, LUÍS; Silva, A.S.; Saitoh, S.. "A reproducing kernel Hilbert space constructive approximation for a special class of integral equations". Libertas Mathematica (New Series) (2014): https://publons.com/wos-op/publon/16535658/.
    10.14510/LM-NS.V34I1.1205
  43. L. P. Castro; Duduchava, R.; Speck, F.-O.. "Diffraction from Polygonal-conical Screens, an Operator Approach". Operator Theory, Operator Algebras and Applications (2014): https://publons.com/wos-op/publon/16535661/.
    10.1007/978-3-0348-0816-3_6
  44. Castro, L.P.; Saitoh, S.. "Fractional Functions and their Representations". Complex Analysis and Operator Theory 7 4 (2013): 1049-1063. http://www.scopus.com/inward/record.url?eid=2-s2.0-84880699347&partnerID=MN8TOARS.
    10.1007/s11785-011-0154-1
  45. Castro, L.P.; Silva, A.S.. "Invertibility criteria for Wiener-Hopf plus Hankel operators with different almost periodic Fourier symbol matrices". Annali di Matematica Pura ed Applicata 192 6 (2013): 1141-1152. http://www.scopus.com/inward/record.url?eid=2-s2.0-84888026421&partnerID=MN8TOARS.
    10.1007/s10231-012-0262-1
  46. Castro, L.P.; Saitoh, S.. "Optimal and Approximate Solutions of Singular Integral Equations by Means of Reproducing Kernels". Complex Analysis and Operator Theory 7 6 (2013): 1839-1851. http://www.scopus.com/inward/record.url?eid=2-s2.0-84888134058&partnerID=MN8TOARS.
    10.1007/s11785-012-0254-6
  47. Castro, L.P.; Kapanadze, D.. "Wave diffraction by a half-plane with an obstacle perpendicular to the boundary". Journal of Differential Equations 254 2 (2013): 493-510. http://www.scopus.com/inward/record.url?eid=2-s2.0-84868199325&partnerID=MN8TOARS.
    10.1016/j.jde.2012.08.030
  48. CASTRO, LUÍS; Kapanadze, David. "Mixed boundary value problems of diffraction by a half-plane with a screen/crack perpendicular to the boundary.". Proc. A. Razmadze Math. Inst. (2013):
  49. Castro, Luis; Guerra, Rita. "Hyers-Ulam-Rassias stability of Volterra integral equations with delay within weighted spaces". LIBERTAS MATHEMATICA (new series) 33 2 (2013):
  50. CASTRO, LUÍS; Rodrigues, M.M.. "The Weierstrass-Whittaker integral transform.". Mem. Differ. Equ. Math. Phys. (2013): 2013): https://publons.com/wos-op/publon/16535666/..
  51. Castro, L.P.; Murata, K.; Saitoh, S.; Yamada, M.. "Explicit integral representations of implicit functions". Carpathian Journal of Mathematics 29 2 (2013): 141-148. http://www.scopus.com/inward/record.url?eid=2-s2.0-84880112957&partnerID=MN8TOARS.
  52. Castro, L.P.; Silva, A.S.. "Defect numbers of singular integral operators with Carleman shift and almost periodic coefficients". Journal of Mathematical Analysis and Applications 387 1 (2012): 66-76. http://www.scopus.com/inward/record.url?eid=2-s2.0-80054063731&partnerID=MN8TOARS.
    10.1016/j.jmaa.2011.08.057
  53. Castro, L.P.; Saitoh, S.; Sawano, Y.; Simões, A.M.. "General Inhomogeneous Discrete Linear Partial Differential Equations with Constant Coefficients on the Whole Spaces". Complex Analysis and Operator Theory 6 1 (2012): 307-324. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856227379&partnerID=MN8TOARS.
    10.1007/s11785-010-0083-4
  54. Castro, L.P.; Saitoh, S.. "Natural outputs and global inputs of linear systems with a finite number of input data". Applicable Analysis 91 2 (2012): 225-236. http://www.scopus.com/inward/record.url?eid=2-s2.0-84860652125&partnerID=MN8TOARS.
    10.1080/00036811.2010.549484
  55. Castro, L.P.; Saitoh, S.. "New convolutions and norm inequalities". Mathematical Inequalities and Applications 15 3 (2012): 707-716. http://www.scopus.com/inward/record.url?eid=2-s2.0-84866393558&partnerID=MN8TOARS.
    10.7153/mia-15-62
  56. Castro, L.P.; Saitoh, S.; Tuan, N.M.. "Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels". Opuscula Mathematica 32 4 (2012): 633-646. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872350559&partnerID=MN8TOARS.
    10.7494/OpMath.2012.32.4.633
  57. Castro, L.P.; Saitoh, S.; Silva, A.S.; Sawano, Y.. "Discrete linear differential equations". Analysis (Germany) 32 3 (2012): 181-191. http://www.scopus.com/inward/record.url?eid=2-s2.0-84991561636&partnerID=MN8TOARS.
    10.1524/anly.2012.1104
  58. Castro, L.P.; Itou, H.; Saitoh, S.. "Numerical solutions of linear singular integral equations by means of tikhonov regularization and reproducing kernels". Houston Journal of Mathematics 38 4 (2012): 1261-1276. http://www.scopus.com/inward/record.url?eid=2-s2.0-84881356534&partnerID=MN8TOARS.
  59. Castro, L.P.; Duduchava, R.; Kapanadze, D.. "Electromagnetic scattering by cylindrical orthotropic waveguide irises". Georgian Mathematical Journal 18 1 (2011): 99-120. http://www.scopus.com/inward/record.url?eid=2-s2.0-79960488445&partnerID=MN8TOARS.
    10.1515/GMJ.2011.0009
  60. Castro, L.P.; Rojas, E.M.. "On the Solvability of Singular Integral Equations with Reflection on the Unit Circle". Integral Equations and Operator Theory 70 1 (2011): 63-99. http://www.scopus.com/inward/record.url?eid=2-s2.0-79954633958&partnerID=MN8TOARS.
    10.1007/s00020-011-1871-6
  61. CASTRO, LUÍS. "Semi-Fredholm theory for Wiener-Hopf-Hankel operators on Muckenhoupt weighted Lebesgue spaces.". Math. Eng. Sci. Aerosp. MESA (2011):
  62. CASTRO, LUÍS. "Wave diffraction by a 270 degrees wedge sector with Dirichlet, Neumann and impedance boundary conditions.". Proc. A. Razmadze Math. Inst. (2011):
  63. Castro, Luis P.; Silva, Anabela S.. "WIENER-HOPF AND WIENER-HOPF-HANKEL OPERATORS WITH PIECEWISE-ALMOST PERIODIC SYMBOLS ON WEIGHTED LEBESGUE SPACES". Memoirs on Differential Equations and Mathematical Physics (2011): https://publons.com/wos-op/publon/16535676/.
  64. Castro, L.P.; Pesetskaya, E.. "A transmission problem with imperfect contact for an unbounded multiply connected domain". Mathematical Methods in the Applied Sciences 33 4 (2010): 517-526. http://www.scopus.com/inward/record.url?eid=2-s2.0-77249161712&partnerID=MN8TOARS.
    10.1002/mma.1217
  65. Castro, L.P.; Rojas, E.M.. "Explicit solutions of Cauchy singular integral equations with weighted Carleman shift". Journal of Mathematical Analysis and Applications 371 1 (2010): 128-133. http://www.scopus.com/inward/record.url?eid=2-s2.0-77954137815&partnerID=MN8TOARS.
    10.1016/j.jmaa.2010.04.050
  66. Castro, L.P.; Kapanadze, D.. "Exterior wedge diffraction problems with dirichlet, Neumann and impedance boundary conditions". Acta Applicandae Mathematicae 110 1 (2010): 289-311. http://www.scopus.com/inward/record.url?eid=2-s2.0-77952098816&partnerID=MN8TOARS.
    10.1007/s10440-008-9408-y
  67. CASTRO, LUÍS; Rojas, E. M.; Saitoh, S.. "Inversion from different kinds of information and real inversion formulas of the Laplace transform from a finite number of data.". Math. Eng. Sci. Aerosp. MESA (2010):
  68. Castro, L.P.; Chen, Q.; Saitoh, S.. "Source inversion of heat conduction from a finite number of observation data". Applicable Analysis 89 6 (2010): 801-813. http://www.scopus.com/inward/record.url?eid=2-s2.0-77952616463&partnerID=MN8TOARS.
    10.1080/00036810903569523
  69. Castro, L. P; Silva, A. S.. "Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols". Cubo (Temuco) 12 2 (2010): 217-234. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=SCIELO&KeyUT=SCIELO:S0719-06462010000200014&KeyUID=SCIELO:S0719-06462010000200014.
    10.4067/S0719-06462010000200014
  70. Castro, L. P.; Rojas, E. M.. "Invertibility of Singular Integral Operators with Flip Through Explicit Operator Relations". INTEGRAL METHODS IN SCIENCE AND ENGINEERING, VOL 1: ANALYTIC METHODS (2010): https://publons.com/wos-op/publon/9295472/.
    10.1007/978-0-8176-4899-2_11
  71. Castro, L. P.; Silva, A. S.. "Fredholm Index Formula for a Class of Matrix Wiener-Hopf Plus and Minus Hankel Operators with Symmetry". INTEGRAL METHODS IN SCIENCE AND ENGINEERING, VOL 1: ANALYTIC METHODS (2010): https://publons.com/wos-op/publon/9295471/.
    10.1007/978-0-8176-4899-2_10
  72. L. P. Castro; Silva, Anabela. "Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with piecewise almost periodic symbols". Bulletin of the Greek Mathematical Society 57 (2010): 99-113.
    Published
  73. Castro, L.P.; Pesetskaya, E.; Rogosin, S.V.. "Effective conductivity of a composite material with non-ideal contact conditions". Complex Variables and Elliptic Equations 54 12 (2009): 1085-1100. http://www.scopus.com/inward/record.url?eid=2-s2.0-75249095831&partnerID=MN8TOARS.
    10.1080/17476930903275995
  74. Castro, L.P.; Silva, A.S.. "Invertibility of matrix Wiener-Hopf plus Hankel operators with symbols producing a positive numerical range". Zeitschrift fur Analysis und ihre Anwendung 28 1 (2009): 119-127. http://www.scopus.com/inward/record.url?eid=2-s2.0-59649129191&partnerID=MN8TOARS.
  75. Castro, L. P.; Ramos, A.. "Hyers-Ulam-Rassias stability for a class of nonlinear volterra integral equations". Banach Journal of Mathematical Analysis 3 1 (2009): 36-43. http://www.scopus.com/inward/record.url?eid=2-s2.0-65549156647&partnerID=MN8TOARS.
    10.15352/bjma/1240336421
  76. Bogveradze, G.; Castro, L.P.. "Invertibility characterization of wiener–Hhopf plus hankel operators via odd asymmetric factorizations". Banach Journal of Mathematical Analysis 3 1 (2009): 1-18. http://www.scopus.com/inward/record.url?eid=2-s2.0-65549102255&partnerID=MN8TOARS.
    10.15352/bjma/1240336418
  77. Castro, L.P.; Nolasco, A.P.. "A semi-Fredholm theory for Wiener-Hopf-Hankel operators with piecewise almost periodic fourier symbols". Journal of Operator Theory 62 1 (2009): 3-31. http://www.scopus.com/inward/record.url?eid=2-s2.0-77449114278&partnerID=MN8TOARS.
  78. Castro, L. P.; Silva, A. S.. "Invertibility of Matrix Wiener-Hopf plus Hankel Operators with Symbols Producing a Positive Numerical Range". Zeitschrift fur Analysis und Ihre Anwendung (2009): https://publons.com/wos-op/publon/9295465/.
    10.4171/ZAA/1376
  79. Bogveradze, G.; Castro, L.P.. "Invertibility properties of matrix Wiener-hopf plus Hankel integral operators". Mathematical Modelling and Analysis 13 1 (2008): 7-16. http://www.scopus.com/inward/record.url?eid=2-s2.0-41149155916&partnerID=MN8TOARS.
    10.3846/1392-6292.2008.13.7-16
  80. Castro, L.P.; Rojas, E.M.. "Reduction of singular integral operators with flip and their fredholm property". Lobachevskii Journal of Mathematics 29 3 (2008): 119-129. http://www.scopus.com/inward/record.url?eid=2-s2.0-50849145127&partnerID=MN8TOARS.
    10.1134/S1995080208030025
  81. De Castro, L.P.; Duduchava, R.; Speck, F.-O.. "Solvability of singular integro-differential equations with multiple complex shifts". Complex Analysis and Operator Theory 2 2 (2008): 327-343. http://www.scopus.com/inward/record.url?eid=2-s2.0-43949136904&partnerID=MN8TOARS.
    10.1007/s11785-008-0055-0
  82. Castro, L.P.; Kapanadze, D.. "The impedance boundary-value problem of diffraction by a strip". Journal of Mathematical Analysis and Applications 337 2 (2008): 1031-1040. http://www.scopus.com/inward/record.url?eid=2-s2.0-34548623643&partnerID=MN8TOARS.
    10.1016/j.jmaa.2007.04.037
  83. Bogveradze, G.; Castro, L.P.. "Toeplitz plus Hankel operators with infinite index". Integral Equations and Operator Theory 62 1 (2008): 43-63. http://www.scopus.com/inward/record.url?eid=2-s2.0-52049105383&partnerID=MN8TOARS.
    10.1007/s00020-008-1611-8
  84. Castro, L.P.; Kapanadze, D.. "Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions". Mathematical and Computer Modelling 48 1-2 (2008): 114-121. http://www.scopus.com/inward/record.url?eid=2-s2.0-43449095395&partnerID=MN8TOARS.
    10.1016/j.mcm.2007.09.004
  85. Castro, L.P.; Kapanadze, D.. "Wave diffraction by a strip with first and second kind boundary conditions: The real wave number case". Mathematische Nachrichten 281 10 (2008): 1400-1411. http://www.scopus.com/inward/record.url?eid=2-s2.0-55449135797&partnerID=MN8TOARS.
    10.1002/mana.200510687
  86. CASTRO, LUÍS; Kapanadze, David. "Pseudo-differential operators in a wave diffraction problem with impedance conditions.". Fract. Calc. Appl. Anal. (2008): http://sci-gems.math.bas.bg/jspui/bitstream/10525/1295/1/fcaa-vol11-num1-2008-15p-26p.pdf.
  87. CASTRO, LUÍS; Rojas, E. M.. "Similarity transformation methods for singular integral operators with reflection on weighted Lebesgue spaces.". Int. J. Mod. Math. (2008):
  88. CASTRO, LUÍS; Kamel, A. H.. "Mathieu function and Kontorovich-Lebedev transforms in the L-shaped wave scattering problem.". Afr. Diaspora J. Math. (2008):
  89. Castro, L. P.; Kapanadze, D.. "Diffraction by a strip and by a half-plane with variable face impedances". Operator Algebras, Operator Theory and Applications 181 (2008): 159-172. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000256384300006&KeyUID=WOS:000256384300006.
    10.1007/978-3-7643-8684-9_6
  90. Castro, L.P.; Kapanadze, D.. "Diffraction by a union of strips with impedance conditions in Besov and Bessel potential spaces". Mathematical Modelling and Analysis 13 2 (2008): 183-194. http://www.scopus.com/inward/record.url?eid=2-s2.0-44949230161&partnerID=MN8TOARS.
    10.3846/1392-6292.2008.13.183-194
  91. Castro, L.P.; Kapanadze, D.. "Dirichlet-neumann-impedance boundary value problems arising in rectangular wedge diffraction problems". Proceedings of the American Mathematical Society 136 6 (2008): 2113-2123. http://www.scopus.com/inward/record.url?eid=2-s2.0-44949134927&partnerID=MN8TOARS.
    10.1090/S0002-9939-08-09288-5
  92. CASTRO, LUÍS; Kapanadze, David. "A boundary-transmission problem with first and second kind conditions for the Helmholtz equation in Besov and Bessel potential spaces.". Bull. Greek Math. Soc. (2007):
  93. CASTRO, LUÍS; Nolasco, A. P.. "A stronger version of the Sarason's type theorem for Wiener--Hopf--Hankel operators with SAP Fourier symbols.". Bull. Greek Math. Soc. (2007):
  94. CASTRO, LUÍS; Bogveradze, G.. "On the Fredholm property and index of Wiener-Hopf plus/minus Hankel operators with piecewise almost periodic symbols.". Appl. Math. Inform. Mech. (2007):
  95. Nolasco, A.P.; Castro, L.P.. "A Duduchava-Saginashvili's type theory for Wiener-Hopf plus Hankel operators". Journal of Mathematical Analysis and Applications 331 1 (2007): 329-341. http://www.scopus.com/inward/record.url?eid=2-s2.0-33947155272&partnerID=MN8TOARS.
    10.1016/j.jmaa.2006.08.089
  96. Castro, L.P.; Kapanadze, D.. "On wave diffraction by a half-plane with different face impedances". Mathematical Methods in the Applied Sciences 30 5 (2007): 513-527. http://www.scopus.com/inward/record.url?eid=2-s2.0-33847709105&partnerID=MN8TOARS.
    10.1002/mma.794
  97. Castro, L.P.; Natroshvili, D.; Stratis, I.G.. "Wave scattering by an elastic obstacle with interior cuts". Mathematische Nachrichten 280 9-10 (2007): 996-1013. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547203996&partnerID=MN8TOARS.
    10.1002/mana.200510531
  98. Castro, L.P.; Natroshvili, D.. "The potential method for the reactance wave diffraction problem in a scale of spaces". Georgian Mathematical Journal 13 2 (2006): 251-260. http://www.scopus.com/inward/record.url?eid=2-s2.0-85014932706&partnerID=MN8TOARS.
    10.1515/GMJ.2006.251
  99. Bogveradze, G.; Castro, L. P.. "Wiener-Hopf plus Hankel operators on the real line with unitary and sectorial symbols". Operator Theory, Operator Algebras, and Applications 414 (2006): 77-85. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000241224500006&KeyUID=WOS:000241224500006.
    10.1090/CONM/414/07800
  100. Nolasco, A. P.; Castro, L. P.. "Factorization theory for Wiener-Hopf plus Hankel operators with almost periodic symbols". Operator Theory, Operator Algebras, and Applications 414 (2006): 111-128. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000241224500009&KeyUID=WOS:000241224500009.
    10.1090/CONM/414/07803
  101. Bogveradze, G.; Castro, L.P.. "Invertibility of matrix Wiener-Hopf plus Hankel operators with APW Fourier symbols". International Journal of Mathematics and Mathematical Sciences 2006 (2006): http://www.scopus.com/inward/record.url?eid=2-s2.0-33947659514&partnerID=MN8TOARS.
    10.1155/IJMMS/2006/38152
  102. Castro, L.P.; Speck, F.-O.; Teixeira, F.S.. "Mixed boundary value problems for the Helmholtz equation in a quadrant". Integral Equations and Operator Theory 56 1 (2006): 1-44. http://www.scopus.com/inward/record.url?eid=2-s2.0-33748317914&partnerID=MN8TOARS.
    10.1007/s00020-005-1410-4
  103. Castro, Luis P.; Natroshvili, David. "THE REACTANCE WAVE DIFFRACTION PROBLEM BY A STRIP IN A SCALE OF BESSEL POTENTIAL SPACES". Opuscula Mathematica (2006): https://publons.com/wos-op/publon/16535689/.
  104. CASTRO, LUÍS; Speck, F.-O.. "Inversion of matrix convolution type operators with symmetry.". Port. Math. (N.S.) (2005): https://www.emis.de/journals/PM/62f2/pm62f204.pdf.
  105. Castro, L.P.; Zhang, B.. "Invertibility of convolution operators in problems of wave diffraction by a strip with reactance and dirichlet conditions". Zeitschrift fur Analysis und ihre Anwendung 24 3 (2005): 545-560. http://www.scopus.com/inward/record.url?eid=2-s2.0-32144446442&partnerID=MN8TOARS.
  106. Castro, L.P.; Duduchava, R.; Speck, F.-O.. "Finite interval convolution operators with transmission property". Integral Equations and Operator Theory 52 2 (2005): 165-179. http://www.scopus.com/inward/record.url?eid=2-s2.0-21744459867&partnerID=MN8TOARS.
    10.1007/s00020-003-1281-5
  107. L. P. Castro; Zhang, B.. "Invertibility of convolution operators in problems of wave diffraction by a strip with reactance and Dirichlet conditions". Zeitschrift für Analysis und Ihre Anwendungen (2005): https://publons.com/wos-op/publon/9295415/.
    10.4171/ZAA/1255
  108. Castro, L. P.; Speck, F.-O.; Teixeira, F. S.. "A direct approach to convolution type operators with symmetry". Mathematische Nachrichten 269-270 1 (2004): 73-85. http://dx.doi.org/10.1002/mana.200310166.
    10.1002/mana.200310166
  109. Castro, L. P.. "Solution of a sommerfeld diffraction problem with a real wave number". Integral Methods in Science and Engineering: Analytic and Numerical Techniques (2004): 25-30. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000189399800005&KeyUID=WOS:000189399800005.
    10.1007/978-0-8176-8184-5_5
  110. Castro, L.P.; Santos, A.M.. "An operator approach for an oblique derivative boundary-transmission problem". Mathematical Methods in the Applied Sciences 27 12 (2004): 1469-1491. http://www.scopus.com/inward/record.url?eid=2-s2.0-3242658991&partnerID=MN8TOARS.
    10.1002/mma.521
  111. L. P. Castro; Speck, F.-O.; Teixeira, F.S.. "On a class of wedge diffraction problems posted by Erhard Meister". Operator Theoretical Methods and Applications to Mathematical Physics - the Erhard Meister Memorial Volume (2004): https://publons.com/wos-op/publon/15549696/.
    10.1007/978-3-0348-7926-2_27
  112. Castro, L. P.; Duduchava, R.; Speck, F.. "Localization and minimal normalization of some basic mixed boundary value problems". Factorization, Singular Operators and Related Problems, Proceedings (2003): 73-100. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000185212300007&KeyUID=WOS:000185212300007.
    10.1007/978-94-017-0227-0_7
  113. Castro, L.P.; Speck, F.-O.; Teixeira, F.S.. "Explicit solution of a dirichlet-neumann wedge diffraction problem with a strip". Journal of Integral Equations and Applications 15 4 (2003): 359-383. http://www.scopus.com/inward/record.url?eid=2-s2.0-33947121129&partnerID=MN8TOARS.
    10.1216/jiea/1181074982
  114. Castro, L.P.. "Regularity of convolution type operators with PC symbols in Bessel potential spaces over two finite intervals". Mathematische Nachrichten 261-262 (2003): 23-36. http://www.scopus.com/inward/record.url?eid=2-s2.0-0346991489&partnerID=MN8TOARS.
    10.1002/mana.200310110
  115. L. P. Castro; Rocha, Eugénio. "Existence, uniqueness and differentiability of the solution of a functional equation with general delay.". An. Univ. Craiova, Ser. Mat. Inf. (2002): https://www.researchgate.net/publication/235992331_Existence_uniqueness_and_differentiability_of_the_solution_of_a_functional_equation_with_general_delay.
  116. CASTRO, LUÍS. "Strongly elliptic operators for a plane wave diffraction problem in Bessel potential spaces.". JIPAM, J. Inequal. Pure Appl. Math. (2002): https://www.emis.de/journals/JIPAM/images/002_01_JIPAM/002_01.pdf.
  117. Castro, L. P.; Duduchava, R.; Speck, F. O.. "Singular integral equations on piecewise smooth curves in spaces of smooth functions". Toeplitz Matrices and Singular Integral Equations 135 (2002): 107-144. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000179869400006&KeyUID=WOS:000179869400006.
    10.1007/978-3-0348-8199-9_8
  118. Castro, L. P.; Speck, F. O.. "Relations between Convolution Type Operators on Intervals and on the Half-line". Integral Equations and Operator Theory 37 2 (2000): 169-207. http://dx.doi.org/10.1007/bf01192422.
    10.1007/bf01192422
  119. Castro, L.P.. "A relation between convolution type operators on intervals in sobolev spaces". Applicable Analysis 74 3-4 (2000): 393-412. http://dx.doi.org/10.1080/00036810008840823.
    10.1080/00036810008840823
  120. Castro, L. P.. "Solution of a wave diffraction problem by a magnetic strip". Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation (2000): 231-235. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000173025500040&KeyUID=WOS:000173025500040.
  121. CASTRO, LUÍS. "Some relations between convolution type operators.". Tr. Inst. Mat., Minsk (2000):
  122. Castro, L.P.; Speck, F.-O.. "Regularity properties and generalized inverses of delta-related operators". Zeitschrift fur Analysis und ihre Anwendung 17 3 (1998): 577-598. http://www.scopus.com/inward/record.url?eid=2-s2.0-22444453259&partnerID=MN8TOARS.
  123. Castro, L.P.; Speck, F.O.. "A Fredholm study for convolution operators with piecewise continuous symbols on a union of a finite and a semi-infinite intervel". Applicable Analysis 64 1-2 (1997): 171-187. http://www.scopus.com/inward/record.url?eid=2-s2.0-0038869483&partnerID=MN8TOARS.
    10.1080/00036819708840528
  124. Castro, L.P.; Speck, F.O.. "On the inversion of higher order wiener-hopf operators". Journal of Integral Equations and Applications 8 3 (1996): 269-285. http://www.scopus.com/inward/record.url?eid=2-s2.0-0011545744&partnerID=MN8TOARS.
    10.1216/jiea/1181075953
  125. Castro, L.P.; Speck, F.-O.. "On the Characterization of the Intermediate Space in Generalized Factorizations". Mathematische Nachrichten 176 1 (1995): 39-54. http://www.scopus.com/inward/record.url?eid=2-s2.0-84985426086&partnerID=MN8TOARS.
    10.1002/mana.19951760104
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2015/09/01 - 2019/10/10 Generalizações da transformação de Fourier e suas aplicações
Supervisor
 Matemática e Aplicações (PhD)
Universidade de Aveiro, Portugal
2007/10/01 - 2011/11/14 Regularidade de Operadores de Wiener-Hopf mais Hankel
Supervisor
 Matemática (PhD)
Universidade de Aveiro, Portugal
2007/03/01 - 2011/06/09 Problemas do Tipo de Sommerfeld com Condições de Fronteira de Ordem Superior
Supervisor
 Matemática (PhD)
Universidade da Beira Interior, Portugal
2007/01/02 - 2010/12/10 Um Estudo de Operadores Integrais Singulares com Deslocamento
Supervisor
 Matemática (PhD)
Universidade de Aveiro, Portugal
2005/04/01 - 2008/04/09 Teoria de Fredholm para Operadores de Wiener-Hopf mais Hankel
Supervisor
 Matemática (PhD)
Universidade de Aveiro, Portugal
2002/09/09 - 2007/03/07 Propriedades de Regularidade de Operadores de Wiener-Hopf-Hankel
Supervisor
 Matemática (PhD)
Universidade de Aveiro, Portugal