Edit Profile (opens in new tab) Pinheiro de Castro, Luís Filipe Co-Author Distance Author ID: castro.luis-pinheiro Published as: Castro, L. P.; Castro, Luís P.; Castro, Luis P.; Castro, Luís Pinheiro; Castro, Luís; De Castro, Luís Filipe Pinheiro; Pinheiro de Castro, Luìs Filipe; Castro, Luís Pinheiro de; de Castro, Luis Pinheiro; Pinheiro de Castro, Luís; Pinheiro De Castro, Luís; Castro, Luís F. P.; Castro, Luis; Castro, L. more...less Homepage: https://www.ua.pt/en/p/10311888 External Links: MGP · ORCID Documents Indexed: 140 Publications since 1995, including 1 Additional arXiv Preprint 2 Contributions as Editor Reviewing Activity: 325 Reviews Co-Authors: 37 Co-Authors with 131 Joint Publications 817 Co-Co-Authors all top 5 Co-Authors 8 single-authored 23 Saitoh, Saburou 22 Speck, Frank-Olme 19 Kapanadze, David 18 Silva, Anabela Sousa 14 Nguyen Minh Tuan 9 Guerra, Rita Correia 9 Rojas, Edixon Manuel 8 Bogveradze, Giorgi 8 Duduchava, Roland 6 Nolasco, A. P. 6 Pesetskaya, Ekaterina V. 6 Simões, Alberto Manuel 5 Fujiwara, Hiroshi 4 Teixeira, Francisco S. 3 Natroshvili, David 3 Sawano, Yoshihiro 2 Minh, L. T. 2 Vu Kim Tuan 2 Yamada, Akira 1 Almeida, Alexandre 1 Bastos, Maria Amélia 1 Chen, Qiuhui 1 de Sousa e Silva, Anabela 1 Goel, Navdeep 1 Haque, Md. Rabiul 1 Kamel, Aladin H. 1 Karlovych, Oleksiy 1 Murshed, Muhammad Masum 1 Qian, Tao 1 Rocha, Eugénio A. M. 1 Rogosin, Sergei V. 1 Santos, A. Moura 1 Staicu, Vasile 1 Stratis, Ioannis G. 1 Tuan, Phan Duc 1 Yamada, Masato 1 Zhang, Bo all top 5 Serials 8 Mathematical Methods in the Applied Sciences 6 Complex Analysis and Operator Theory 5 Journal of Mathematical Analysis and Applications 5 Integral Equations and Operator Theory 5 Mathematische Nachrichten 4 Applicable Analysis 4 Bulletin of the Greek Mathematical Society 3 Zeitschrift für Analysis und ihre Anwendungen 3 Journal of Integral Equations and Applications 3 Georgian Mathematical Journal 3 Memoirs on Differential Equations and Mathematical Physics 3 Mathematical Modelling and Analysis 3 Libertas Mathematica. New Series 2 Opuscula Mathematica 2 Mathematical Inequalities & Applications 2 Proceedings of A. Razmadze Mathematical Institute 2 Banach Journal of Mathematical Analysis 2 Mathematics in Engineering, Science and Aerospace MESA 2 Annals of Functional Analysis 2 Operator Theory: Advances and Applications 1 Houston Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Journal of Operator Theory 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Mathematical and Computer Modelling 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Filomat 1 Analele Universității din Craiova. Seria Matematică Informatică 1 Mathematics and Mechanics of Solids 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Fractional Calculus & Applied Analysis 1 Analysis (München) 1 International Journal of Applied Mathematics 1 Lobachevskii Journal of Mathematics 1 Trudy Instituta Matematiki 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Portugaliae Mathematica. Nova Série 1 International Journal of Pure and Applied Mathematics 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Analysis and Applications (Singapore) 1 Applied Mathematics, Informatics and Mechanics 1 Mediterranean Journal of Mathematics 1 African Diaspora Journal of Mathematics 1 Cubo 1 Mathematical Biosciences and Engineering 1 Carpathian Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Communications in Mathematical Analysis 1 International Journal of Modern Mathematics 1 Asian-European Journal of Mathematics 1 Mathematical Sciences 1 Journal of Classical Analysis all top 5 Fields 89 Operator theory (47-XX) 48 Partial differential equations (35-XX) 48 Integral equations (45-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 29 Functional analysis (46-XX) 21 Integral transforms, operational calculus (44-XX) 19 Optics, electromagnetic theory (78-XX) 16 Functions of a complex variable (30-XX) 9 Numerical analysis (65-XX) 8 Abstract harmonic analysis (43-XX) 7 Mechanics of deformable solids (74-XX) 5 Potential theory (31-XX) 5 Special functions (33-XX) 5 Ordinary differential equations (34-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Fluid mechanics (76-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 490 times in 227 Documents Cited by ▼ Year ▼ Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations. Zbl 1177.45010 Castro, L. P.; Ramos, A. 45 2009 On a class of wedge diffraction problems posted by Erhard Meister. Zbl 1187.35029 Castro, Luis P.; Speck, Frank-Olme; Teixeira, Francisco S. 16 2004 Mixed boundary value problems for the Helmholtz equation in a quadrant. Zbl 1206.35089 Castro, L. P.; Speck, F.-O.; Teixeira, F. S. 16 2006 Effective conductivity of a composite material with non-ideal contact conditions. Zbl 1184.30029 Castro, L. P.; Pesetskaya, E.; Rogosin, S. V. 15 2009 New convolutions for quadratic-phase Fourier integral operators and their applications. Zbl 1390.44013 Castro, L. P.; Minh, L. T.; Tuan, N. M. 15 2018 Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions. Zbl 1189.35396 Castro, L. P.; Kapanadze, D. 13 2010 Regularity properties and generalized inverses of delta-related operators. Zbl 0918.47026 Castro, L. P.; Speck, F.-O. 13 1998 Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric. Zbl 1405.45010 Castro, L. P.; Simões, A. M. 13 2018 Relations between convolution type operators on intervals and on the half-line. Zbl 0974.47023 Castro, L. P.; Speck, F.-O. 12 2000 Explicit solution of a Dirichlet-Neumann wedge diffraction problem with a strip. Zbl 1069.47073 Castro, L. P.; Speck, F.-O.; Teixeira, F. S. 11 2003 Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations. Zbl 1499.45034 Castro, L. P.; Simões, A. M. 11 2017 Quadratic Fourier transforms. Zbl 1278.42005 Castro, L. P.; Haque, M. R.; Murshed, M. M.; Saitoh, S.; Tuan, N. M. 11 2014 Diffraction from polygonal-conical screens, an operator approach. Zbl 1322.78008 Castro, Luís P.; Duduchava, Roland; Speck, Frank-Olme 10 2014 Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems. Zbl 1185.35055 Castro, L. P.; Kapanadze, D. 9 2008 New convolutions and norm inequalities. Zbl 1254.44007 Castro, L. P.; Saitoh, S. 9 2012 Wave diffraction by wedges having arbitrary aperture angle. Zbl 1300.35005 Castro, L. P.; Kapanadze, D. 9 2015 Explicit solutions of Cauchy singular integral equations with weighted Carleman shift. Zbl 1198.45004 Castro, L. P.; Rojas, E. M. 9 2010 General inhomogeneous discrete linear partial differential equations with constant coefficients on the whole spaces. Zbl 1273.35017 Castro, L. P.; Saitoh, S.; Sawano, Y.; Simões, A. M. 9 2012 The impedance boundary-value problem of diffraction by a strip. Zbl 1151.35015 Castro, L. P.; Kapanadze, D. 8 2008 On the characterization of the intermediate space in generalized factorizations. Zbl 0840.47015 Castro, L. P.; Speck, F.-O. 8 1995 A transmission problem with imperfect contact for an unbounded multiply connected domain. Zbl 1187.30035 Castro, L. P.; Pesetskaya, E. 7 2010 A direct approach to convolution type operators with symmetry. Zbl 1082.47024 Castro, L. P.; Speck, F.-O.; Teixeira, F. S. 7 2004 On wave diffraction by a half-plane with different face impedances. Zbl 1128.78005 Castro, L. P.; Kapanadze, D. 6 2007 Inversion of matrix convolution type operators with symmetry. Zbl 1093.47029 Castro, L. P.; Speck, F.-O. 6 2005 Localization and minimal normalization of some basic mixed boundary value problems. Zbl 1055.35154 Castro, Luís P.; Duduchava, Roland; Speck, Frank-Olme 6 2003 On the Fredholm index of matrix Wiener-Hopf plus/minus Hankel operators with semi-almost periodic symbols. Zbl 1155.47028 Bogveradze, Giorgi; Castro, Luís P. 6 2008 Wave diffraction by a strip with first and second kind boundary conditions: The real wave number case. Zbl 1180.35182 Castro, L. P.; Kapanadze, D. 6 2008 A Duduchava–Saginashvili’s type theory for Wiener–Hopf plus Hankel operators. Zbl 1116.47026 Nolasco, A. P.; Castro, L. P. 5 2007 Toeplitz plus Hankel operators with infinite index. Zbl 1194.47029 Bogveradze, G.; Castro, L. P. 5 2008 Regularity of convolution type operators with PC symbols in Bessel potential spaces over two finite intervals. Zbl 1048.47033 Castro, L. P. 5 2003 Invertibility of matrix Wiener–Hopf plus Hankel operators with symbols producing a positive numerical range. Zbl 1163.47023 Castro, L. P.; Silva, A. S. 5 2009 Effective conductivity of a composite material with stiff imperfect contact conditions. Zbl 1345.31005 Castro, L. P.; Kapanadze, D.; Pesetskaya, E. 5 2015 A heat conduction problem of 2D unbounded composites with imperfect contact conditions. Zbl 1326.74037 Castro, L. P.; Kapanadze, D.; Pesetskaya, E. 5 2015 Wave diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1259.35071 Castro, L. P.; Kapanadze, D. 5 2013 The potential method for the reactance wave diffraction problem in a scale of spaces. Zbl 1220.35023 Castro, Luis P.; Natroshvili, David 4 2006 Advances in harmonic analysis and operator theory. The Stefan Samko anniversary volume on the occasion of his 70th birthday. Mainly based on the presentations at two conferences, Lisbon and Aveiro, Portugal, in June – July, 2011. Zbl 1258.00012 4 2013 On the solvability of singular integral equations with reflection on the unit circle. Zbl 1220.45002 Castro, L. P.; Rojas, E. M. 4 2011 A semi-Fredholm theory for Wiener-Hopf-Hankel operators with piecewise almost periodic Fourier symbols. Zbl 1211.47012 Castro, L. P.; Nolasco, A. P. 4 2009 Reduction of singular integral operators with flip and their Fredholm property. Zbl 1176.47034 Castro, L. P.; Rojas, E. M. 4 2008 Finite interval convolution operators with transmission property. Zbl 1099.47027 Castro, L. P.; Duduchava, R.; Speck, F.-O. 4 2005 On the inversion of higher order Wiener-Hopf operators. Zbl 0873.47015 Castro, L. P.; Speck, F.-O. 4 1996 Hyers-Ulam-Rassias stability of Volterra integral equations within weighted spaces. Zbl 1330.45010 Castro, L. P.; Guerra, R. C. 4 2013 A fundamental theorem on initial value problems by using the theory of reproducing kernels. Zbl 1342.47088 Castro, L. P.; Rodrigues, M. M.; Saitoh, S. 4 2015 How to catch smoothing properties and analyticity of functions by computers? Zbl 1328.65126 Castro, L. P.; Fujiwara, H.; Qian, T.; Saitoh, S. 4 2014 Aveiro discretization method in mathematics: a new discretization principle. Zbl 1319.65103 Castro, L. P.; Fujiwara, H.; Rodrigues, M. M.; Saitoh, S.; Tuan, V. K. 4 2014 New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type. Zbl 1450.45002 Castro, Luis P.; Guerra, Rita C.; Tuan, Nguyen Minh 4 2020 Fractional functions and their representations. Zbl 1285.46024 Castro, L. P.; Saitoh, S. 4 2013 Hyers-Ulam and Hyers-Ulam-Rassias stability of Volterra integral equations with delay. Zbl 1196.45010 Castro, L. P.; Ramos, A. 4 2010 New convolutions weighted by Hermite functions and their applications. Zbl 1430.45003 Castro, L. P.; Guerra, R. C.; Tuan, N. M. 4 2019 On Wiener’s Tauberian theorems and convolution for oscillatory integral operators. Zbl 1440.42035 de Castro, Luis Pinheiro; Guerra, Rita Correia; Tuan, Nguyen Minh 4 2019 Asymmetric factorizations of matrix functions on the real line. Zbl 1120.47014 Castro, L. P.; Duduchava, R.; Speck, F.-O. 3 2006 Source inversion of heat conduction from a finite number of observation data. Zbl 1197.65132 Castro, L. P.; Chen, Q.; Saitoh, S. 3 2010 An operator approach for an oblique derivative boundary-transmission problem. Zbl 1151.35323 Castro, L. P.; Moura Santos, A. 3 2004 Similarity transformation methods for singular integral operators with reflection on weighted Lebesgue spaces. Zbl 1165.47034 Castro, L. P.; Rojas, E. M. 3 2008 A stronger version of the Sarason’s type theorem for Wiener–Hopf–Hankel operators with SAP Fourier symbols. Zbl 1176.47025 Nolasco, A. P.; Castro, L. P. 3 2007 A reproducing kernel Hilbert space constructive approximation for integral equations with Toeplitz and Hankel kernels. Zbl 1330.45005 Castro, L. P.; Silva, A. S.; Saitoh, S. 3 2014 Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions. Zbl 1145.78308 Castro, L. P.; Kapanadze, D. 3 2008 Solvability of singular integro-differential equations with multiple complex shifts. Zbl 1167.45005 Pinheiro De Castro, Luís; Duduchava, Roland; Speck, Frank-Olme 3 2008 Mixed impedance boundary value problems for the Laplace-Beltrami equation. Zbl 1454.35128 Castro, Luis; Duduchava, Roland; Speck, Frank-Olme 3 2020 Fundamental error estimate inequalities for the Tikhonov regularization using reproducing kernels. Zbl 1253.46037 Castro, Luís P.; Fujiwara, Hiroshi; Saitoh, Saburou; Sawano, Yoshihiro; Yamada, Akira 3 2012 Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels. Zbl 1279.30004 Castro, Luis P.; Saitoh, Sabourou; Tuan, Nguyen Minh 3 2012 Numerical solutions of linear singular integral equations by means of Tikhonov regularization and reproducing kernels. Zbl 1262.65196 Castro, L. P.; Itou, H.; Saitoh, S. 3 2012 Optimal and approximate solutions of singular integral equations by means of reproducing kernels. Zbl 1285.45001 Castro, L. P.; Saitoh, S. 3 2013 On the Fredholm property and index of Wiener-Hopf plus/minus Hankel operators with piecewise almost periodic symbols. Zbl 1187.47022 Bogveradze, G.; Castro, L. P. 2 2007 Factorization of Wiener–Hopf plus Hankel operators with \(APW\) Fourier symbols. Zbl 1065.47031 Nolasco, A. P.; Castro, L. P. 2 2004 Wiener-Hopf plus Hankel operators on the real line with unitary and sectorial symbols. Zbl 1114.47032 Bogveradze, G.; Castro, L. P. 2 2006 Factorization theory for Wiener–Hopf plus Hankel operators with almost periodic symbols. Zbl 1118.47021 Nolasco, A. P.; Castro, L. P. 2 2006 Solution of a Sommerfeld diffraction problem with a real wave number. Zbl 1078.78006 Castro, Luis P. 2 2004 On integral operators generated by the Fourier transform and a reflection. Zbl 1333.42010 Castro, L. P.; Guerra, R. C.; Tuan, N. M. 2 2015 A new discretization method by means of reproducing kernels. Zbl 1314.65076 Castro, L. P.; Fujiwara, H.; Rodrigues, M. M.; Saitoh, S. 2 2012 Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations. Zbl 1185.47026 Bogveradze, G.; Castro, L. P. 2 2009 Discrete linear differential equations. Zbl 1269.34011 Castro, Luis P.; Saitoh, Saburou; Sawano, Yoshihiro; Silva, Anabela S. 2 2012 A new convolution operator for the linear canonical transform with applications. Zbl 1476.44003 Castro, Luís P.; Goel, Navdeep; Silva, Anabela S. 2 2021 Convolution theorems related with the solvability of Wiener-Hopf plus Hankel integral equations and Shannon’s sampling formula. Zbl 1505.42010 Castro, Luís Pinheiro; Guerra, Rita Correia; Tuan, Nguyen Minh 2 2019 A composite material with inextensible-membrane-type interface. Zbl 1447.74013 Castro, L. P.; Pesetskaya, E. 2 2019 Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols. Zbl 1217.47059 Castro, L. P.; Silva, A. S. 2 2010 Invertibility properties of matrix Wiener–Hopf plus Hankel integral operators. Zbl 1152.47020 Bogveradze, G.; Castro, L. P. 1 2008 Integral equations of convolution type on unions of intervals. Zbl 0898.45006 Castro, L. P. 1 1997 Wave diffraction by a 270 degrees wedge sector with Dirichlet, Neumann and impedance boundary conditions. Zbl 1235.35185 Castro, L.; Kapanadze, D. 1 2011 An operator approach to a boundary value problem for the Helmholtz equation. Zbl 0952.35015 Castro, L. P.; Speck, F.-O. 1 2000 Invertibility of convolution operators in problems of wave diffraction by a strip with reactance and Dirichlet conditions. Zbl 1115.47026 Castro, L. P.; Zhang, B. 1 2005 A Fredholm study for convolution operators with piecewise continuous symbols on a union of a finite and a semi-infinite interval. Zbl 0893.47016 Castro, L. P.; Speck, F.-O. 1 1997 Invertibility characterization of Wiener-Hopf plus Hankel operators on variable exponent Lebesgue spaces via even asymmetric factorization. Zbl 1369.47030 Castro, Luís P.; Silva, Anabela S. 1 2016 Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case. Zbl 1310.45001 Castro, L. P.; Rojas, E. M.; Saitoh, S.; Tuan, N. M.; Tuan, P. D. 1 2015 Well-posedness of diffraction problems involving \(n\) coplanar strips. Zbl 1040.78007 Castro, Luís Pinheiro de; Speck, Frank-Olme 1 2003 Diffraction by a strip and by a half-plane with variable face impedances. Zbl 1189.35053 Castro, Luís P.; Kapanadze, David 1 2008 Interplay of Wiener-Hopf and Hankel operators with almost periodic Fourier symbols on standard and variable exponent Lebesgue spaces. Zbl 1312.47033 Castro, L. P.; Silva, A. S. 1 2015 Initial value problems in linear integral operator equations. Zbl 1325.45016 Castro, L. P.; Rodrigues, M. M.; Saitoh, S. 1 2014 New convolutions with Hermite weight functions. Zbl 1489.44006 Castro, Luís Pinheiro; Silva, Anabela Sousa; Tuan, Nguyen Minh 1 2021 Invertibility criteria for Wiener-Hopf plus Hankel operators with different almost periodic Fourier symbol matrices. Zbl 1282.47037 Castro, L. P.; Silva, A. S. 1 2013 Inversion from different kinds of information and real inversion formulas of the Laplace transform from a finite number of data. Zbl 1195.44006 Castro, L. P.; Rojas, E. M.; Saitoh, S. 1 2010 Invertibility of singular integral operators with flip through explicit operator relations. Zbl 1196.45014 Castro, L. P.; Rojas, E. M. 1 2010 On the solution and Ulam-Hyers-Rassias stability of a Caputo fractional boundary value problem. Zbl 1516.34010 Castro, Luís P.; Silva, Anabela S. 1 2022 Properties of a composite material with mixed imperfect contact conditions. Zbl 1488.30226 De Castro, Luís Filipe Pinheiro; Pesetskaya, Ekaterina 1 2016 Wiener-Hopf and Wiener-Hopf-Hankel operators with piecewise-almost periodic symbols on weighted Lebesgue spaces. Zbl 1273.47052 Castro, Luís P.; Silva, Anabela S. 1 2011 Mixed boundary value problems of diffraction by a half-plane with a screen/crack perpendicular to the boundary. Zbl 1290.35042 Castro, L. P.; Kapanadze, D. 1 2013 On the solution and Ulam-Hyers-Rassias stability of a Caputo fractional boundary value problem. Zbl 1516.34010 Castro, Luís P.; Silva, Anabela S. 1 2022 A new convolution operator for the linear canonical transform with applications. Zbl 1476.44003 Castro, Luís P.; Goel, Navdeep; Silva, Anabela S. 2 2021 New convolutions with Hermite weight functions. Zbl 1489.44006 Castro, Luís Pinheiro; Silva, Anabela Sousa; Tuan, Nguyen Minh 1 2021 New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type. Zbl 1450.45002 Castro, Luis P.; Guerra, Rita C.; Tuan, Nguyen Minh 4 2020 Mixed impedance boundary value problems for the Laplace-Beltrami equation. Zbl 1454.35128 Castro, Luis; Duduchava, Roland; Speck, Frank-Olme 3 2020 New convolutions weighted by Hermite functions and their applications. Zbl 1430.45003 Castro, L. P.; Guerra, R. C.; Tuan, N. M. 4 2019 On Wiener’s Tauberian theorems and convolution for oscillatory integral operators. Zbl 1440.42035 de Castro, Luis Pinheiro; Guerra, Rita Correia; Tuan, Nguyen Minh 4 2019 Convolution theorems related with the solvability of Wiener-Hopf plus Hankel integral equations and Shannon’s sampling formula. Zbl 1505.42010 Castro, Luís Pinheiro; Guerra, Rita Correia; Tuan, Nguyen Minh 2 2019 A composite material with inextensible-membrane-type interface. Zbl 1447.74013 Castro, L. P.; Pesetskaya, E. 2 2019 New convolutions for quadratic-phase Fourier integral operators and their applications. Zbl 1390.44013 Castro, L. P.; Minh, L. T.; Tuan, N. M. 15 2018 Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric. Zbl 1405.45010 Castro, L. P.; Simões, A. M. 13 2018 Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations. Zbl 1499.45034 Castro, L. P.; Simões, A. M. 11 2017 Invertibility characterization of Wiener-Hopf plus Hankel operators on variable exponent Lebesgue spaces via even asymmetric factorization. Zbl 1369.47030 Castro, Luís P.; Silva, Anabela S. 1 2016 Properties of a composite material with mixed imperfect contact conditions. Zbl 1488.30226 De Castro, Luís Filipe Pinheiro; Pesetskaya, Ekaterina 1 2016 Wave diffraction by wedges having arbitrary aperture angle. Zbl 1300.35005 Castro, L. P.; Kapanadze, D. 9 2015 Effective conductivity of a composite material with stiff imperfect contact conditions. Zbl 1345.31005 Castro, L. P.; Kapanadze, D.; Pesetskaya, E. 5 2015 A heat conduction problem of 2D unbounded composites with imperfect contact conditions. Zbl 1326.74037 Castro, L. P.; Kapanadze, D.; Pesetskaya, E. 5 2015 A fundamental theorem on initial value problems by using the theory of reproducing kernels. Zbl 1342.47088 Castro, L. P.; Rodrigues, M. M.; Saitoh, S. 4 2015 On integral operators generated by the Fourier transform and a reflection. Zbl 1333.42010 Castro, L. P.; Guerra, R. C.; Tuan, N. M. 2 2015 Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case. Zbl 1310.45001 Castro, L. P.; Rojas, E. M.; Saitoh, S.; Tuan, N. M.; Tuan, P. D. 1 2015 Interplay of Wiener-Hopf and Hankel operators with almost periodic Fourier symbols on standard and variable exponent Lebesgue spaces. Zbl 1312.47033 Castro, L. P.; Silva, A. S. 1 2015 Quadratic Fourier transforms. Zbl 1278.42005 Castro, L. P.; Haque, M. R.; Murshed, M. M.; Saitoh, S.; Tuan, N. M. 11 2014 Diffraction from polygonal-conical screens, an operator approach. Zbl 1322.78008 Castro, Luís P.; Duduchava, Roland; Speck, Frank-Olme 10 2014 How to catch smoothing properties and analyticity of functions by computers? Zbl 1328.65126 Castro, L. P.; Fujiwara, H.; Qian, T.; Saitoh, S. 4 2014 Aveiro discretization method in mathematics: a new discretization principle. Zbl 1319.65103 Castro, L. P.; Fujiwara, H.; Rodrigues, M. M.; Saitoh, S.; Tuan, V. K. 4 2014 A reproducing kernel Hilbert space constructive approximation for integral equations with Toeplitz and Hankel kernels. Zbl 1330.45005 Castro, L. P.; Silva, A. S.; Saitoh, S. 3 2014 Initial value problems in linear integral operator equations. Zbl 1325.45016 Castro, L. P.; Rodrigues, M. M.; Saitoh, S. 1 2014 Wave diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1259.35071 Castro, L. P.; Kapanadze, D. 5 2013 Advances in harmonic analysis and operator theory. The Stefan Samko anniversary volume on the occasion of his 70th birthday. Mainly based on the presentations at two conferences, Lisbon and Aveiro, Portugal, in June – July, 2011. Zbl 1258.00012 4 2013 Hyers-Ulam-Rassias stability of Volterra integral equations within weighted spaces. Zbl 1330.45010 Castro, L. P.; Guerra, R. C. 4 2013 Fractional functions and their representations. Zbl 1285.46024 Castro, L. P.; Saitoh, S. 4 2013 Optimal and approximate solutions of singular integral equations by means of reproducing kernels. Zbl 1285.45001 Castro, L. P.; Saitoh, S. 3 2013 Invertibility criteria for Wiener-Hopf plus Hankel operators with different almost periodic Fourier symbol matrices. Zbl 1282.47037 Castro, L. P.; Silva, A. S. 1 2013 Mixed boundary value problems of diffraction by a half-plane with a screen/crack perpendicular to the boundary. Zbl 1290.35042 Castro, L. P.; Kapanadze, D. 1 2013 New convolutions and norm inequalities. Zbl 1254.44007 Castro, L. P.; Saitoh, S. 9 2012 General inhomogeneous discrete linear partial differential equations with constant coefficients on the whole spaces. Zbl 1273.35017 Castro, L. P.; Saitoh, S.; Sawano, Y.; Simões, A. M. 9 2012 Fundamental error estimate inequalities for the Tikhonov regularization using reproducing kernels. Zbl 1253.46037 Castro, Luís P.; Fujiwara, Hiroshi; Saitoh, Saburou; Sawano, Yoshihiro; Yamada, Akira 3 2012 Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels. Zbl 1279.30004 Castro, Luis P.; Saitoh, Sabourou; Tuan, Nguyen Minh 3 2012 Numerical solutions of linear singular integral equations by means of Tikhonov regularization and reproducing kernels. Zbl 1262.65196 Castro, L. P.; Itou, H.; Saitoh, S. 3 2012 A new discretization method by means of reproducing kernels. Zbl 1314.65076 Castro, L. P.; Fujiwara, H.; Rodrigues, M. M.; Saitoh, S. 2 2012 Discrete linear differential equations. Zbl 1269.34011 Castro, Luis P.; Saitoh, Saburou; Sawano, Yoshihiro; Silva, Anabela S. 2 2012 On the solvability of singular integral equations with reflection on the unit circle. Zbl 1220.45002 Castro, L. P.; Rojas, E. M. 4 2011 Wave diffraction by a 270 degrees wedge sector with Dirichlet, Neumann and impedance boundary conditions. Zbl 1235.35185 Castro, L.; Kapanadze, D. 1 2011 Wiener-Hopf and Wiener-Hopf-Hankel operators with piecewise-almost periodic symbols on weighted Lebesgue spaces. Zbl 1273.47052 Castro, Luís P.; Silva, Anabela S. 1 2011 Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions. Zbl 1189.35396 Castro, L. P.; Kapanadze, D. 13 2010 Explicit solutions of Cauchy singular integral equations with weighted Carleman shift. Zbl 1198.45004 Castro, L. P.; Rojas, E. M. 9 2010 A transmission problem with imperfect contact for an unbounded multiply connected domain. Zbl 1187.30035 Castro, L. P.; Pesetskaya, E. 7 2010 Hyers-Ulam and Hyers-Ulam-Rassias stability of Volterra integral equations with delay. Zbl 1196.45010 Castro, L. P.; Ramos, A. 4 2010 Source inversion of heat conduction from a finite number of observation data. Zbl 1197.65132 Castro, L. P.; Chen, Q.; Saitoh, S. 3 2010 Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols. Zbl 1217.47059 Castro, L. P.; Silva, A. S. 2 2010 Inversion from different kinds of information and real inversion formulas of the Laplace transform from a finite number of data. Zbl 1195.44006 Castro, L. P.; Rojas, E. M.; Saitoh, S. 1 2010 Invertibility of singular integral operators with flip through explicit operator relations. Zbl 1196.45014 Castro, L. P.; Rojas, E. M. 1 2010 Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations. Zbl 1177.45010 Castro, L. P.; Ramos, A. 45 2009 Effective conductivity of a composite material with non-ideal contact conditions. Zbl 1184.30029 Castro, L. P.; Pesetskaya, E.; Rogosin, S. V. 15 2009 Invertibility of matrix Wiener–Hopf plus Hankel operators with symbols producing a positive numerical range. Zbl 1163.47023 Castro, L. P.; Silva, A. S. 5 2009 A semi-Fredholm theory for Wiener-Hopf-Hankel operators with piecewise almost periodic Fourier symbols. Zbl 1211.47012 Castro, L. P.; Nolasco, A. P. 4 2009 Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations. Zbl 1185.47026 Bogveradze, G.; Castro, L. P. 2 2009 Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems. Zbl 1185.35055 Castro, L. P.; Kapanadze, D. 9 2008 The impedance boundary-value problem of diffraction by a strip. Zbl 1151.35015 Castro, L. P.; Kapanadze, D. 8 2008 On the Fredholm index of matrix Wiener-Hopf plus/minus Hankel operators with semi-almost periodic symbols. Zbl 1155.47028 Bogveradze, Giorgi; Castro, Luís P. 6 2008 Wave diffraction by a strip with first and second kind boundary conditions: The real wave number case. Zbl 1180.35182 Castro, L. P.; Kapanadze, D. 6 2008 Toeplitz plus Hankel operators with infinite index. Zbl 1194.47029 Bogveradze, G.; Castro, L. P. 5 2008 Reduction of singular integral operators with flip and their Fredholm property. Zbl 1176.47034 Castro, L. P.; Rojas, E. M. 4 2008 Similarity transformation methods for singular integral operators with reflection on weighted Lebesgue spaces. Zbl 1165.47034 Castro, L. P.; Rojas, E. M. 3 2008 Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions. Zbl 1145.78308 Castro, L. P.; Kapanadze, D. 3 2008 Solvability of singular integro-differential equations with multiple complex shifts. Zbl 1167.45005 Pinheiro De Castro, Luís; Duduchava, Roland; Speck, Frank-Olme 3 2008 Invertibility properties of matrix Wiener–Hopf plus Hankel integral operators. Zbl 1152.47020 Bogveradze, G.; Castro, L. P. 1 2008 Diffraction by a strip and by a half-plane with variable face impedances. Zbl 1189.35053 Castro, Luís P.; Kapanadze, David 1 2008 On wave diffraction by a half-plane with different face impedances. Zbl 1128.78005 Castro, L. P.; Kapanadze, D. 6 2007 A Duduchava–Saginashvili’s type theory for Wiener–Hopf plus Hankel operators. Zbl 1116.47026 Nolasco, A. P.; Castro, L. P. 5 2007 A stronger version of the Sarason’s type theorem for Wiener–Hopf–Hankel operators with SAP Fourier symbols. Zbl 1176.47025 Nolasco, A. P.; Castro, L. P. 3 2007 On the Fredholm property and index of Wiener-Hopf plus/minus Hankel operators with piecewise almost periodic symbols. Zbl 1187.47022 Bogveradze, G.; Castro, L. P. 2 2007 Mixed boundary value problems for the Helmholtz equation in a quadrant. Zbl 1206.35089 Castro, L. P.; Speck, F.-O.; Teixeira, F. S. 16 2006 The potential method for the reactance wave diffraction problem in a scale of spaces. Zbl 1220.35023 Castro, Luis P.; Natroshvili, David 4 2006 Asymmetric factorizations of matrix functions on the real line. Zbl 1120.47014 Castro, L. P.; Duduchava, R.; Speck, F.-O. 3 2006 Wiener-Hopf plus Hankel operators on the real line with unitary and sectorial symbols. Zbl 1114.47032 Bogveradze, G.; Castro, L. P. 2 2006 Factorization theory for Wiener–Hopf plus Hankel operators with almost periodic symbols. Zbl 1118.47021 Nolasco, A. P.; Castro, L. P. 2 2006 Inversion of matrix convolution type operators with symmetry. Zbl 1093.47029 Castro, L. P.; Speck, F.-O. 6 2005 Finite interval convolution operators with transmission property. Zbl 1099.47027 Castro, L. P.; Duduchava, R.; Speck, F.-O. 4 2005 Invertibility of convolution operators in problems of wave diffraction by a strip with reactance and Dirichlet conditions. Zbl 1115.47026 Castro, L. P.; Zhang, B. 1 2005 On a class of wedge diffraction problems posted by Erhard Meister. Zbl 1187.35029 Castro, Luis P.; Speck, Frank-Olme; Teixeira, Francisco S. 16 2004 A direct approach to convolution type operators with symmetry. Zbl 1082.47024 Castro, L. P.; Speck, F.-O.; Teixeira, F. S. 7 2004 An operator approach for an oblique derivative boundary-transmission problem. Zbl 1151.35323 Castro, L. P.; Moura Santos, A. 3 2004 Factorization of Wiener–Hopf plus Hankel operators with \(APW\) Fourier symbols. Zbl 1065.47031 Nolasco, A. P.; Castro, L. P. 2 2004 Solution of a Sommerfeld diffraction problem with a real wave number. Zbl 1078.78006 Castro, Luis P. 2 2004 Explicit solution of a Dirichlet-Neumann wedge diffraction problem with a strip. Zbl 1069.47073 Castro, L. P.; Speck, F.-O.; Teixeira, F. S. 11 2003 Localization and minimal normalization of some basic mixed boundary value problems. Zbl 1055.35154 Castro, Luís P.; Duduchava, Roland; Speck, Frank-Olme 6 2003 Regularity of convolution type operators with PC symbols in Bessel potential spaces over two finite intervals. Zbl 1048.47033 Castro, L. P. 5 2003 Well-posedness of diffraction problems involving \(n\) coplanar strips. Zbl 1040.78007 Castro, Luís Pinheiro de; Speck, Frank-Olme 1 2003 Relations between convolution type operators on intervals and on the half-line. Zbl 0974.47023 Castro, L. P.; Speck, F.-O. 12 2000 An operator approach to a boundary value problem for the Helmholtz equation. Zbl 0952.35015 Castro, L. P.; Speck, F.-O. 1 2000 Regularity properties and generalized inverses of delta-related operators. Zbl 0918.47026 Castro, L. P.; Speck, F.-O. 13 1998 Integral equations of convolution type on unions of intervals. Zbl 0898.45006 Castro, L. P. 1 1997 A Fredholm study for convolution operators with piecewise continuous symbols on a union of a finite and a semi-infinite interval. Zbl 0893.47016 Castro, L. P.; Speck, F.-O. 1 1997 On the inversion of higher order Wiener-Hopf operators. Zbl 0873.47015 Castro, L. P.; Speck, F.-O. 4 1996 On the characterization of the intermediate space in generalized factorizations. Zbl 0840.47015 Castro, L. P.; Speck, F.-O. 8 1995 all cited Publications top 5 cited Publications all top 5 Cited by 296 Authors 47 Pinheiro de Castro, Luís Filipe 14 Speck, Frank-Olme 10 Kapanadze, David 10 Musolino, Paolo 10 Saitoh, Saburou 9 Silva, Anabela Sousa 8 Nguyen Minh Tuan 7 Abbas, Said 7 Benchohra, Mouffak 7 Mejjaoli, Hatem 6 Duduchava, Roland 6 Pesetskaya, Ekaterina V. 5 Guerra, Rita Correia 5 Lanza de Cristoforis, Massimo 5 Prasad, Akhilesh 5 Rojas, Edixon Manuel 5 Sharma, Pratap Bhanu 4 Ciepliński, Krzysztof 4 Merzon, Anatolĭ E. 4 Santos, A. Moura 4 Simões, Alberto Manuel 4 Zada, Akbar 3 Akel, Mohamed S. 3 Brzdęk, Janusz 3 de la Paz Méndez, José Eligio 3 Didenko, Victor D. 3 Kucche, Kishor D. 3 Li, Pingrun 3 Messerschmidt, Miek 3 Rabinovich, Vladimir Samuilovich 3 Ran, André C. M. 3 Shikhare, Pallavi U. 3 ter Horst, Sanne 3 Tsaava, Medea 3 Vinh, Pham Chi 3 Wang, Jinrong 2 Abdeljawad, Thabet 2 Amin, Rohul 2 Ayub, Muhammad 2 Bastos, Maria Amélia 2 Gençtürk, İlker 2 Jung, Soon-Mo 2 Karlovich, Yuri I. 2 Karlovych, Oleksiy 2 Kobayashi, Yuji 2 Lebre, Amarino Brites 2 Li, XueZhu 2 Luzzini, Paolo 2 Minh, L. T. 2 Nieto Roig, Juan Jose 2 Pukhtayevych, Roman Petrovych 2 Roelands, Mark 2 Santos, Pedro A. 2 Sawano, Yoshihiro 2 Shah, Firdous Ahmad 2 Shah, Kamal 2 Silbermann, Bernd 2 Soltani, Fethi 2 Takahasi, Sin-Ei 2 Teixeira, Francisco S. 2 Trimèche, Khalifa 2 Vu Kim Tuan 2 Xu, Tianzhou 2 Yang, Zhanpeng 1 Abdalla, Bahaaeldin 1 Abdalla, Mohamed 1 Abrahams, I. David 1 Abuchu, Jacob Ashiwere 1 Ahmadian, Ali 1 Akgül, Ali 1 Akkouchi, Mohamed 1 Al-Khateeb, Areen 1 Al Qurashi, Maysaa’ Mohamed 1 Alaidarous, Eman S. 1 Albarakati, Wafaa A. 1 Aldawsari, Mona 1 Allahviranloo, Tofigh 1 Almeida, Alexandre 1 Alrabaiah, Hussam 1 Amara, Abdelkader 1 Arab, Reza 1 Arshad, Noreen Izza 1 Assier, Raphaël C. 1 Baghani, Omid 1 Bahyrycz, Anna 1 Bai, Songwei 1 Băleanu, Dumitru I. 1 Baratchart, Laurent 1 Başcı, Yasemin 1 Ben Chikh, Salim 1 Ben Makhlouf, Abdellatif 1 Bénichou, Olivier 1 Bernardino, N. J. 1 Beyrami, Hossein 1 Bhat, Mohammad Younus 1 Bishop, Sheila Amina 1 Bliev, Nazarbaĭ Kadyrovich 1 Bogveradze, Giorgi 1 Bohner, Martin J. 1 Bota, Monica-Felicia ...and 196 more Authors all top 5 Cited in 112 Serials 16 Mathematical Methods in the Applied Sciences 11 Journal of Mathematical Analysis and Applications 9 Complex Analysis and Operator Theory 6 Integral Equations and Operator Theory 6 Journal of Integral Equations and Applications 6 Georgian Mathematical Journal 5 Abstract and Applied Analysis 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Mediterranean Journal of Mathematics 4 Fractals 4 Integral Transforms and Special Functions 4 Complex Variables and Elliptic Equations 3 Numerical Functional Analysis and Optimization 3 Results in Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Computational and Applied Mathematics 3 Turkish Journal of Mathematics 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Journal of Inequalities and Applications 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Demonstratio Mathematica 2 Mathematische Nachrichten 2 Acta Applicandae Mathematicae 2 The Journal of Analysis 2 Journal of Mathematical Sciences (New York) 2 Filomat 2 Random Operators and Stochastic Equations 2 European Journal of Mechanics. A. Solids 2 Advances in Difference Equations 2 Boundary Value Problems 2 Asian-European Journal of Mathematics 2 Journal of Pseudo-Differential Operators and Applications 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 International Journal of Applied and Computational Mathematics 1 Applicable Analysis 1 International Journal of Engineering Science 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Periodica Mathematica Hungarica 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Dissertationes Mathematicae 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Meccanica 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tokyo Journal of Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Journal of Computational Mathematics 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Acta Mathematica Universitatis Comenianae. New Series 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Indagationes Mathematicae. New Series 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 Advances in Applied Clifford Algebras 1 Mathematical Problems in Engineering 1 Mathematics and Mechanics of Solids 1 Mathematical Inequalities & Applications 1 Fractional Calculus & Applied Analysis 1 Revista Matemática Complutense 1 Discrete Dynamics in Nature and Society 1 Analysis (München) 1 Russian Physics Journal 1 Lobachevskii Journal of Mathematics 1 Applied Sciences 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Journal of Function Spaces and Applications 1 Mathematical Biosciences and Engineering 1 Journal of Fixed Point Theory and Applications 1 Networks and Heterogeneous Media 1 Journal of Nonlinear Science and Applications 1 São Paulo Journal of Mathematical Sciences 1 Differential Equations and Applications 1 International Journal of Nonlinear Analysis and Applications 1 Journal of Spectral Theory 1 Eurasian Mathematical Journal ...and 12 more Serials all top 5 Cited in 32 Fields 91 Operator theory (47-XX) 84 Integral equations (45-XX) 65 Partial differential equations (35-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 30 Ordinary differential equations (34-XX) 30 Functional analysis (46-XX) 26 Integral transforms, operational calculus (44-XX) 24 Functions of a complex variable (30-XX) 22 Optics, electromagnetic theory (78-XX) 19 Mechanics of deformable solids (74-XX) 17 Real functions (26-XX) 17 Numerical analysis (65-XX) 16 Difference and functional equations (39-XX) 13 Abstract harmonic analysis (43-XX) 12 Potential theory (31-XX) 5 Fluid mechanics (76-XX) 4 Special functions (33-XX) 4 Probability theory and stochastic processes (60-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year