Edit Profile (opens in new tab) Pinheiro de Castro, Luís Filipe Compute Distance To: Compute Author ID: castro.luis-pinheiro Published as: Castro, L. P.; Castro, Luís P.; Castro, Luis P.; Castro, Luís Pinheiro; De Castro, Luís Filipe Pinheiro; Castro, Luís Pinheiro de; de Castro, Luis Pinheiro; Pinheiro de Castro, Luís; Pinheiro De Castro, Luís; Castro, Luís F. P.; Castro, Luis; Castro, Luís; Castro, L. more...less Homepage: http://sweet.ua.pt/castro/ External Links: MGP · ORCID Documents Indexed: 135 Publications since 1995 2 Contributions as Editor Reviewing Activity: 297 Reviews Co-Authors: 33 Co-Authors with 124 Joint Publications 683 Co-Co-Authors all top 5 Co-Authors 8 single-authored 23 Saitoh, Saburou 22 Speck, Frank-Olme 19 Kapanadze, David 17 Silva, Anabela Sousa 12 Nguyen Minh Tuan 9 Rojas, Edixon Manuel 8 Bogveradze, Giorgi 8 Duduchava, Roland 7 Guerra, Rita Correia 6 Nolasco, A. P. 6 Pesetskaya, Ekaterina V. 5 Fujiwara, Hiroshi 5 Simões, Alberto M. 4 Teixeira, Francisco S. 3 Natroshvili, David 3 Sawano, Yoshihiro 2 Vu Kim Tuan 2 Yamada, Akira 1 Almeida, Alexandre 1 Bastos, Maria Amélia 1 Goel, Navdeep 1 Haque, Md. Rabiul 1 Kamel, Aladin H. 1 Karlovych, Oleksiy 1 Minh, L. T. 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 Warren, David Scott 1 Yamada, Masato 1 Zhang, Bo all top 5 Serials 7 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 Analysis and Applications (Singapore) 1 Applied Mathematics, Informatics and Mechanics 1 Mediterranean Journal of Mathematics 1 African Diaspora Journal of Mathematics 1 Cubo 1 Carpathian Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Communications in Mathematical Analysis 1 International Journal of Modern Mathematics 1 Journal of Classical Analysis all top 5 Fields 86 Operator theory (47-XX) 48 Partial differential equations (35-XX) 46 Integral equations (45-XX) 28 Functional analysis (46-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 19 Optics, electromagnetic theory (78-XX) 18 Integral transforms, operational calculus (44-XX) 16 Functions of a complex variable (30-XX) 9 Numerical analysis (65-XX) 7 Mechanics of deformable solids (74-XX) 5 Potential theory (31-XX) 5 Abstract harmonic analysis (43-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 4 Ordinary differential equations (34-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 Difference and functional equations (39-XX) 2 Fluid mechanics (76-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-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 89 Publications have been cited 390 times in 170 Documents Cited by ▼ Year ▼ Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations. Zbl 1177.45010Castro, L. P.; Ramos, A. 40 2009 Mixed boundary value problems for the Helmholtz equation in a quadrant. Zbl 1206.35089Castro, L. P.; Speck, F.-O.; Teixeira, F. S. 15 2006 On a class of wedge diffraction problems posted by Erhard Meister. Zbl 1187.35029Castro, Luis P.; Speck, Frank-Olme; Teixeira, Francisco S. 13 2004 Effective conductivity of a composite material with non-ideal contact conditions. Zbl 1184.30029Castro, L. P.; Pesetskaya, E.; Rogosin, S. V. 13 2009 Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions. Zbl 1189.35396Castro, L. P.; Kapanadze, D. 12 2010 Regularity properties and generalized inverses of delta-related operators. Zbl 0918.47026Castro, L. P.; Speck, F.-O. 11 1998 Explicit solution of a Dirichlet-Neumann wedge diffraction problem with a strip. Zbl 1069.47073Castro, L. P.; Speck, F.-O.; Teixeira, F. S. 11 2003 Relations between convolution type operators on intervals and on the half-line. Zbl 0974.47023Castro, L. P.; Speck, F.-O. 10 2000 Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems. Zbl 1185.35055Castro, L. P.; Kapanadze, D. 9 2008 Wave diffraction by wedges having arbitrary aperture angle. Zbl 1300.35005Castro, L. P.; Kapanadze, D. 8 2015 On the characterization of the intermediate space in generalized factorizations. Zbl 0840.47015Castro, L. P.; Speck, F.-O. 8 1995 The impedance boundary-value problem of diffraction by a strip. Zbl 1151.35015Castro, L. P.; Kapanadze, D. 8 2008 General inhomogeneous discrete linear partial differential equations with constant coefficients on the whole spaces. Zbl 1273.35017Castro, L. P.; Saitoh, S.; Sawano, Y.; Simões, A. M. 8 2012 Explicit solutions of Cauchy singular integral equations with weighted Carleman shift. Zbl 1198.45004Castro, L. P.; Rojas, E. M. 7 2010 A direct approach to convolution type operators with symmetry. Zbl 1082.47024Castro, L. P.; Speck, F.-O.; Teixeira, F. S. 7 2004 New convolutions and norm inequalities. Zbl 1254.44007Castro, L. P.; Saitoh, S. 7 2012 Diffraction from polygonal-conical screens, an operator approach. Zbl 1322.78008Castro, Luís P.; Duduchava, Roland; Speck, Frank-Olme 7 2014 New convolutions for quadratic-phase Fourier integral operators and their applications. Zbl 1390.44013Castro, L. P.; Minh, L. T.; Tuan, N. M. 6 2018 Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric. Zbl 1405.45010Castro, L. P.; Simões, A. M. 6 2018 Localization and minimal normalization of some basic mixed boundary value problems. Zbl 1055.35154Castro, Luís P.; Duduchava, Roland; Speck, Frank-Olme 6 2003 A transmission problem with imperfect contact for an unbounded multiply connected domain. Zbl 1187.30035Castro, L. P.; Pesetskaya, E. 6 2010 On the Fredholm index of matrix Wiener-Hopf plus/minus Hankel operators with semi-almost periodic symbols. Zbl 1155.47028Bogveradze, Giorgi; Castro, Luís P. 6 2008 Toeplitz plus Hankel operators with infinite index. Zbl 1194.47029Bogveradze, G.; Castro, L. P. 5 2008 A Duduchava–Saginashvili’s type theory for Wiener–Hopf plus Hankel operators. Zbl 1116.47026Nolasco, A. P.; Castro, L. P. 5 2007 On wave diffraction by a half-plane with different face impedances. Zbl 1128.78005Castro, L. P.; Kapanadze, D. 5 2007 Inversion of matrix convolution type operators with symmetry. Zbl 1093.47029Castro, L. P.; Speck, F.-O. 5 2005 Wave diffraction by a strip with first and second kind boundary conditions: The real wave number case. Zbl 1180.35182Castro, L. P.; Kapanadze, D. 5 2008 Invertibility of matrix Wiener–Hopf plus Hankel operators with symbols producing a positive numerical range. Zbl 1163.47023Castro, L. P.; Silva, A. S. 5 2009 Reduction of singular integral operators with flip and their Fredholm property. Zbl 1176.47034Castro, L. P.; Rojas, E. M. 4 2008 On the inversion of higher order Wiener-Hopf operators. Zbl 0873.47015Castro, L. P.; Speck, F.-O. 4 1996 On the solvability of singular integral equations with reflection on the unit circle. Zbl 1220.45002Castro, L. P.; Rojas, E. M. 4 2011 A semi-Fredholm theory for Wiener-Hopf-Hankel operators with piecewise almost periodic Fourier symbols. Zbl 1211.47012Castro, L. P.; Nolasco, A. P. 4 2009 Fractional functions and their representations. Zbl 1285.46024Castro, L. P.; Saitoh, S. 4 2013 Wave diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1259.35071Castro, L. P.; Kapanadze, D. 4 2013 Source inversion of heat conduction from a finite number of observation data. Zbl 1197.65132Castro, L. P.; Chen, Q.; Saitoh, S. 3 2010 Hyers-Ulam and Hyers-Ulam-Rassias stability of Volterra integral equations with delay. Zbl 1196.45010Castro, L. P.; Ramos, A. 3 2010 A reproducing kernel Hilbert space constructive approximation for integral equations with Toeplitz and Hankel kernels. Zbl 1330.45005Castro, L. P.; Silva, A. S.; Saitoh, S. 3 2014 A heat conduction problem of 2D unbounded composites with imperfect contact conditions. Zbl 1326.74037Castro, L. P.; Kapanadze, D.; Pesetskaya, E. 3 2015 Effective conductivity of a composite material with stiff imperfect contact conditions. Zbl 1345.31005Castro, L. P.; Kapanadze, D.; Pesetskaya, E. 3 2015 Finite interval convolution operators with transmission property. Zbl 1099.47027Castro, L. P.; Duduchava, R.; Speck, F.-O. 3 2005 An operator approach for an oblique derivative boundary-transmission problem. Zbl 1151.35323Castro, L. P.; Moura Santos, A. 3 2004 Regularity of convolution type operators with PC symbols in Bessel potential spaces over two finite intervals. Zbl 1048.47033Castro, L. P. 3 2003 Asymmetric factorizations of matrix functions on the real line. Zbl 1120.47014Castro, L. P.; Duduchava, R.; Speck, F.-O. 3 2006 The potential method for the reactance wave diffraction problem in a scale of spaces. Zbl 1220.35023Castro, Luis P.; Natroshvili, David 3 2006 Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels. Zbl 1279.30004Castro, Luis P.; Saitoh, Sabourou; Tuan, Nguyen Minh 3 2012 Quadratic Fourier transforms. Zbl 1278.42005Castro, L. P.; Haque, M. R.; Murshed, M. M.; Saitoh, S.; Tuan, N. M. 3 2014 Fundamental error estimate inequalities for the Tikhonov regularization using reproducing kernels. Zbl 1253.46037Castro, Luís P.; Fujiwara, Hiroshi; Saitoh, Saburou; Sawano, Yoshihiro; Yamada, Akira 3 2012 Similarity transformation methods for singular integral operators with reflection on weighted Lebesgue spaces. Zbl 1165.47034Castro, 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 1176.47025Nolasco, A. P.; Castro, L. P. 3 2007 Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions. Zbl 1145.78308Castro, L. P.; Kapanadze, D. 3 2008 Aveiro discretization method in mathematics: a new discretization principle. Zbl 1319.65103Castro, L. P.; Fujiwara, H.; Rodrigues, M. M.; Saitoh, S.; Tuan, V. K. 3 2014 On Wiener’s Tauberian theorems and convolution for oscillatory integral operators. Zbl 1440.42035de Castro, Luis Pinheiro; Guerra, Rita Correia; Tuan, Nguyen Minh 3 2019 Optimal and approximate solutions of singular integral equations by means of reproducing kernels. Zbl 1285.45001Castro, L. P.; Saitoh, S. 3 2013 A fundamental theorem on initial value problems by using the theory of reproducing kernels. Zbl 1342.47088Castro, L. P.; Rodrigues, M. M.; Saitoh, S. 3 2015 How to catch smoothing properties and analyticity of functions by computers? Zbl 1328.65126Castro, L. P.; Fujiwara, H.; Qian, T.; Saitoh, S. 3 2014 Solvability of singular integro-differential equations with multiple complex shifts. Zbl 1167.45005Pinheiro De Castro, Luís; Duduchava, Roland; Speck, Frank-Olme 2 2008 Hyers-Ulam-Rassias stability of Volterra integral equations within weighted spaces. Zbl 1330.45010Castro, L. P.; Guerra, R. C. 2 2013 Factorization of Wiener–Hopf plus Hankel operators with \(APW\) Fourier symbols. Zbl 1065.47031Nolasco, A. P.; Castro, L. P. 2 2004 Wiener-Hopf plus Hankel operators on the real line with unitary and sectorial symbols. Zbl 1114.47032Bogveradze, G.; Castro, L. P. 2 2006 Factorization theory for Wiener–Hopf plus Hankel operators with almost periodic symbols. Zbl 1118.47021Nolasco, A. P.; Castro, L. P. 2 2006 Numerical solutions of linear singular integral equations by means of Tikhonov regularization and reproducing kernels. Zbl 1262.65196Castro, L. P.; Itou, H.; Saitoh, S. 2 2012 Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols. Zbl 1217.47059Castro, L. P.; Silva, A. S. 2 2010 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 2 2013 Discrete linear differential equations. Zbl 1269.34011Castro, Luis P.; Saitoh, Saburou; Sawano, Yoshihiro; Silva, Anabela S. 2 2012 New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type. Zbl 1450.45002Castro, Luis P.; Guerra, Rita C.; Tuan, Nguyen Minh 2 2020 On the Fredholm property and index of Wiener-Hopf plus/minus Hankel operators with piecewise almost periodic symbols. Zbl 1187.47022Bogveradze, G.; Castro, L. P. 2 2007 Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations. Zbl 1185.47026Bogveradze, G.; Castro, L. P. 2 2009 A new discretization method by means of reproducing kernels. Zbl 1314.65076Castro, L. P.; Fujiwara, H.; Rodrigues, M. M.; Saitoh, S. 2 2012 New convolutions weighted by Hermite functions and their applications. Zbl 1430.45003Castro, L. P.; Guerra, R. C.; Tuan, N. M. 2 2019 Convolution theorems related with the solvability of Wiener-Hopf plus Hankel integral equations and Shannon’s sampling formula. Zbl 07289589Castro, Luís Pinheiro; Guerra, Rita Correia; Tuan, Nguyen Minh 2 2019 Inversion from different kinds of information and real inversion formulas of the Laplace transform from a finite number of data. Zbl 1195.44006Castro, L. P.; Rojas, E. M.; Saitoh, S. 1 2010 Invertibility of singular integral operators with flip through explicit operator relations. Zbl 1196.45014Castro, L. P.; Rojas, E. M. 1 2010 Integral equations of convolution type on unions of intervals. Zbl 0898.45006Castro, L. P. 1 1997 An operator approach to a boundary value problem for the Helmholtz equation. Zbl 0952.35015Castro, L. P.; Speck, F.-O. 1 2000 Well-posedness of diffraction problems involving \(n\) coplanar strips. Zbl 1040.78007Castro, Luís Pinheiro de; Speck, Frank-Olme 1 2003 A Fredholm study for convolution operators with piecewise continuous symbols on a union of a finite and a semi-infinite interval. Zbl 0893.47016Castro, L. P.; Speck, F.-O. 1 1997 Invertibility of convolution operators in problems of wave diffraction by a strip with reactance and Dirichlet conditions. Zbl 1115.47026Castro, L. P.; Zhang, B. 1 2005 Wave diffraction by a 270 degrees wedge sector with Dirichlet, Neumann and impedance boundary conditions. Zbl 1235.35185Castro, L.; Kapanadze, D. 1 2011 Solution of a Sommerfeld diffraction problem with a real wave number. Zbl 1078.78006Castro, Luis P. 1 2004 Invertibility properties of matrix Wiener–Hopf plus Hankel integral operators. Zbl 1152.47020Bogveradze, G.; Castro, L. P. 1 2008 Wiener-Hopf and Wiener-Hopf-Hankel operators with piecewise-almost periodic symbols on weighted Lebesgue spaces. Zbl 1273.47052Castro, Luís P.; Silva, Anabela S. 1 2011 A composite material with inextensible-membrane-type interface. Zbl 1447.74013Castro, L. P.; Pesetskaya, E. 1 2019 Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations. Zbl 07454879Castro, L. P.; Simões, A. M. 1 2017 Diffraction by a strip and by a half-plane with variable face impedances. Zbl 1189.35053Castro, Luís P.; Kapanadze, David 1 2008 Invertibility criteria for Wiener-Hopf plus Hankel operators with different almost periodic Fourier symbol matrices. Zbl 1282.47037Castro, 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 1290.35042Castro, L. P.; Kapanadze, D. 1 2013 Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case. Zbl 1310.45001Castro, 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 1312.47033Castro, L. P.; Silva, A. S. 1 2015 Mixed impedance boundary value problems for the Laplace-Beltrami equation. Zbl 1454.35128Castro, Luis; Duduchava, Roland; Speck, Frank-Olme 1 2020 New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type. Zbl 1450.45002Castro, Luis P.; Guerra, Rita C.; Tuan, Nguyen Minh 2 2020 Mixed impedance boundary value problems for the Laplace-Beltrami equation. Zbl 1454.35128Castro, Luis; Duduchava, Roland; Speck, Frank-Olme 1 2020 On Wiener’s Tauberian theorems and convolution for oscillatory integral operators. Zbl 1440.42035de Castro, Luis Pinheiro; Guerra, Rita Correia; Tuan, Nguyen Minh 3 2019 New convolutions weighted by Hermite functions and their applications. Zbl 1430.45003Castro, L. P.; Guerra, R. C.; Tuan, N. M. 2 2019 Convolution theorems related with the solvability of Wiener-Hopf plus Hankel integral equations and Shannon’s sampling formula. Zbl 07289589Castro, Luís Pinheiro; Guerra, Rita Correia; Tuan, Nguyen Minh 2 2019 A composite material with inextensible-membrane-type interface. Zbl 1447.74013Castro, L. P.; Pesetskaya, E. 1 2019 New convolutions for quadratic-phase Fourier integral operators and their applications. Zbl 1390.44013Castro, L. P.; Minh, L. T.; Tuan, N. M. 6 2018 Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric. Zbl 1405.45010Castro, L. P.; Simões, A. M. 6 2018 Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations. Zbl 07454879Castro, L. P.; Simões, A. M. 1 2017 Wave diffraction by wedges having arbitrary aperture angle. Zbl 1300.35005Castro, L. P.; Kapanadze, D. 8 2015 A heat conduction problem of 2D unbounded composites with imperfect contact conditions. Zbl 1326.74037Castro, L. P.; Kapanadze, D.; Pesetskaya, E. 3 2015 Effective conductivity of a composite material with stiff imperfect contact conditions. Zbl 1345.31005Castro, L. P.; Kapanadze, D.; Pesetskaya, E. 3 2015 A fundamental theorem on initial value problems by using the theory of reproducing kernels. Zbl 1342.47088Castro, L. P.; Rodrigues, M. M.; Saitoh, S. 3 2015 Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case. Zbl 1310.45001Castro, 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 1312.47033Castro, L. P.; Silva, A. S. 1 2015 Diffraction from polygonal-conical screens, an operator approach. Zbl 1322.78008Castro, Luís P.; Duduchava, Roland; Speck, Frank-Olme 7 2014 A reproducing kernel Hilbert space constructive approximation for integral equations with Toeplitz and Hankel kernels. Zbl 1330.45005Castro, L. P.; Silva, A. S.; Saitoh, S. 3 2014 Quadratic Fourier transforms. Zbl 1278.42005Castro, L. P.; Haque, M. R.; Murshed, M. M.; Saitoh, S.; Tuan, N. M. 3 2014 Aveiro discretization method in mathematics: a new discretization principle. Zbl 1319.65103Castro, L. P.; Fujiwara, H.; Rodrigues, M. M.; Saitoh, S.; Tuan, V. K. 3 2014 How to catch smoothing properties and analyticity of functions by computers? Zbl 1328.65126Castro, L. P.; Fujiwara, H.; Qian, T.; Saitoh, S. 3 2014 Fractional functions and their representations. Zbl 1285.46024Castro, L. P.; Saitoh, S. 4 2013 Wave diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1259.35071Castro, L. P.; Kapanadze, D. 4 2013 Optimal and approximate solutions of singular integral equations by means of reproducing kernels. Zbl 1285.45001Castro, L. P.; Saitoh, S. 3 2013 Hyers-Ulam-Rassias stability of Volterra integral equations within weighted spaces. Zbl 1330.45010Castro, L. P.; Guerra, R. C. 2 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 2 2013 Invertibility criteria for Wiener-Hopf plus Hankel operators with different almost periodic Fourier symbol matrices. Zbl 1282.47037Castro, 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 1290.35042Castro, L. P.; Kapanadze, D. 1 2013 General inhomogeneous discrete linear partial differential equations with constant coefficients on the whole spaces. Zbl 1273.35017Castro, L. P.; Saitoh, S.; Sawano, Y.; Simões, A. M. 8 2012 New convolutions and norm inequalities. Zbl 1254.44007Castro, L. P.; Saitoh, S. 7 2012 Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels. Zbl 1279.30004Castro, Luis P.; Saitoh, Sabourou; Tuan, Nguyen Minh 3 2012 Fundamental error estimate inequalities for the Tikhonov regularization using reproducing kernels. Zbl 1253.46037Castro, Luís P.; Fujiwara, Hiroshi; Saitoh, Saburou; Sawano, Yoshihiro; Yamada, Akira 3 2012 Numerical solutions of linear singular integral equations by means of Tikhonov regularization and reproducing kernels. Zbl 1262.65196Castro, L. P.; Itou, H.; Saitoh, S. 2 2012 Discrete linear differential equations. Zbl 1269.34011Castro, Luis P.; Saitoh, Saburou; Sawano, Yoshihiro; Silva, Anabela S. 2 2012 A new discretization method by means of reproducing kernels. Zbl 1314.65076Castro, L. P.; Fujiwara, H.; Rodrigues, M. M.; Saitoh, S. 2 2012 On the solvability of singular integral equations with reflection on the unit circle. Zbl 1220.45002Castro, L. P.; Rojas, E. M. 4 2011 Wave diffraction by a 270 degrees wedge sector with Dirichlet, Neumann and impedance boundary conditions. Zbl 1235.35185Castro, L.; Kapanadze, D. 1 2011 Wiener-Hopf and Wiener-Hopf-Hankel operators with piecewise-almost periodic symbols on weighted Lebesgue spaces. Zbl 1273.47052Castro, Luís P.; Silva, Anabela S. 1 2011 Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions. Zbl 1189.35396Castro, L. P.; Kapanadze, D. 12 2010 Explicit solutions of Cauchy singular integral equations with weighted Carleman shift. Zbl 1198.45004Castro, L. P.; Rojas, E. M. 7 2010 A transmission problem with imperfect contact for an unbounded multiply connected domain. Zbl 1187.30035Castro, L. P.; Pesetskaya, E. 6 2010 Source inversion of heat conduction from a finite number of observation data. Zbl 1197.65132Castro, L. P.; Chen, Q.; Saitoh, S. 3 2010 Hyers-Ulam and Hyers-Ulam-Rassias stability of Volterra integral equations with delay. Zbl 1196.45010Castro, L. P.; Ramos, A. 3 2010 Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols. Zbl 1217.47059Castro, 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 1195.44006Castro, L. P.; Rojas, E. M.; Saitoh, S. 1 2010 Invertibility of singular integral operators with flip through explicit operator relations. Zbl 1196.45014Castro, L. P.; Rojas, E. M. 1 2010 Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations. Zbl 1177.45010Castro, L. P.; Ramos, A. 40 2009 Effective conductivity of a composite material with non-ideal contact conditions. Zbl 1184.30029Castro, L. P.; Pesetskaya, E.; Rogosin, S. V. 13 2009 Invertibility of matrix Wiener–Hopf plus Hankel operators with symbols producing a positive numerical range. Zbl 1163.47023Castro, L. P.; Silva, A. S. 5 2009 A semi-Fredholm theory for Wiener-Hopf-Hankel operators with piecewise almost periodic Fourier symbols. Zbl 1211.47012Castro, L. P.; Nolasco, A. P. 4 2009 Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations. Zbl 1185.47026Bogveradze, G.; Castro, L. P. 2 2009 Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems. Zbl 1185.35055Castro, L. P.; Kapanadze, D. 9 2008 The impedance boundary-value problem of diffraction by a strip. Zbl 1151.35015Castro, L. P.; Kapanadze, D. 8 2008 On the Fredholm index of matrix Wiener-Hopf plus/minus Hankel operators with semi-almost periodic symbols. Zbl 1155.47028Bogveradze, Giorgi; Castro, Luís P. 6 2008 Toeplitz plus Hankel operators with infinite index. Zbl 1194.47029Bogveradze, G.; Castro, L. P. 5 2008 Wave diffraction by a strip with first and second kind boundary conditions: The real wave number case. Zbl 1180.35182Castro, L. P.; Kapanadze, D. 5 2008 Reduction of singular integral operators with flip and their Fredholm property. Zbl 1176.47034Castro, L. P.; Rojas, E. M. 4 2008 Similarity transformation methods for singular integral operators with reflection on weighted Lebesgue spaces. Zbl 1165.47034Castro, L. P.; Rojas, E. M. 3 2008 Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions. Zbl 1145.78308Castro, L. P.; Kapanadze, D. 3 2008 Solvability of singular integro-differential equations with multiple complex shifts. Zbl 1167.45005Pinheiro De Castro, Luís; Duduchava, Roland; Speck, Frank-Olme 2 2008 Invertibility properties of matrix Wiener–Hopf plus Hankel integral operators. Zbl 1152.47020Bogveradze, G.; Castro, L. P. 1 2008 Diffraction by a strip and by a half-plane with variable face impedances. Zbl 1189.35053Castro, Luís P.; Kapanadze, David 1 2008 A Duduchava–Saginashvili’s type theory for Wiener–Hopf plus Hankel operators. Zbl 1116.47026Nolasco, A. P.; Castro, L. P. 5 2007 On wave diffraction by a half-plane with different face impedances. Zbl 1128.78005Castro, L. P.; Kapanadze, D. 5 2007 A stronger version of the Sarason’s type theorem for Wiener–Hopf–Hankel operators with SAP Fourier symbols. Zbl 1176.47025Nolasco, 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 1187.47022Bogveradze, G.; Castro, L. P. 2 2007 Mixed boundary value problems for the Helmholtz equation in a quadrant. Zbl 1206.35089Castro, L. P.; Speck, F.-O.; Teixeira, F. S. 15 2006 Asymmetric factorizations of matrix functions on the real line. Zbl 1120.47014Castro, L. P.; Duduchava, R.; Speck, F.-O. 3 2006 The potential method for the reactance wave diffraction problem in a scale of spaces. Zbl 1220.35023Castro, Luis P.; Natroshvili, David 3 2006 Wiener-Hopf plus Hankel operators on the real line with unitary and sectorial symbols. Zbl 1114.47032Bogveradze, G.; Castro, L. P. 2 2006 Factorization theory for Wiener–Hopf plus Hankel operators with almost periodic symbols. Zbl 1118.47021Nolasco, A. P.; Castro, L. P. 2 2006 Inversion of matrix convolution type operators with symmetry. Zbl 1093.47029Castro, L. P.; Speck, F.-O. 5 2005 Finite interval convolution operators with transmission property. Zbl 1099.47027Castro, L. P.; Duduchava, R.; Speck, F.-O. 3 2005 Invertibility of convolution operators in problems of wave diffraction by a strip with reactance and Dirichlet conditions. Zbl 1115.47026Castro, L. P.; Zhang, B. 1 2005 On a class of wedge diffraction problems posted by Erhard Meister. Zbl 1187.35029Castro, Luis P.; Speck, Frank-Olme; Teixeira, Francisco S. 13 2004 A direct approach to convolution type operators with symmetry. Zbl 1082.47024Castro, L. P.; Speck, F.-O.; Teixeira, F. S. 7 2004 An operator approach for an oblique derivative boundary-transmission problem. Zbl 1151.35323Castro, L. P.; Moura Santos, A. 3 2004 Factorization of Wiener–Hopf plus Hankel operators with \(APW\) Fourier symbols. Zbl 1065.47031Nolasco, A. P.; Castro, L. P. 2 2004 Solution of a Sommerfeld diffraction problem with a real wave number. Zbl 1078.78006Castro, Luis P. 1 2004 Explicit solution of a Dirichlet-Neumann wedge diffraction problem with a strip. Zbl 1069.47073Castro, L. P.; Speck, F.-O.; Teixeira, F. S. 11 2003 Localization and minimal normalization of some basic mixed boundary value problems. Zbl 1055.35154Castro, 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 1048.47033Castro, L. P. 3 2003 Well-posedness of diffraction problems involving \(n\) coplanar strips. Zbl 1040.78007Castro, Luís Pinheiro de; Speck, Frank-Olme 1 2003 Relations between convolution type operators on intervals and on the half-line. Zbl 0974.47023Castro, L. P.; Speck, F.-O. 10 2000 An operator approach to a boundary value problem for the Helmholtz equation. Zbl 0952.35015Castro, L. P.; Speck, F.-O. 1 2000 Regularity properties and generalized inverses of delta-related operators. Zbl 0918.47026Castro, L. P.; Speck, F.-O. 11 1998 Integral equations of convolution type on unions of intervals. Zbl 0898.45006Castro, 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 0893.47016Castro, L. P.; Speck, F.-O. 1 1997 On the inversion of higher order Wiener-Hopf operators. Zbl 0873.47015Castro, L. P.; Speck, F.-O. 4 1996 On the characterization of the intermediate space in generalized factorizations. Zbl 0840.47015Castro, L. P.; Speck, F.-O. 8 1995 all cited Publications top 5 cited Publications all top 5 Cited by 212 Authors 39 Pinheiro de Castro, Luís Filipe 12 Speck, Frank-Olme 9 Kapanadze, David 9 Saitoh, Saburou 8 Musolino, Paolo 8 Silva, Anabela Sousa 7 Abbas, Said 7 Benchohra, Mouffak 6 Pesetskaya, Ekaterina V. 5 Duduchava, Roland 5 Nguyen Minh Tuan 5 Rojas, Edixon Manuel 4 Lanza de Cristoforis, Massimo 4 Merzon, Anatolĭ E. 4 Santos, A. Moura 3 Brzdęk, Janusz 3 Ciepliński, Krzysztof 3 de la Paz Méndez, José Eligio 3 Didenko, Victor D. 3 Kucche, Kishor D. 3 Mejjaoli, Hatem 3 Prasad, Akhilesh 3 Rabinovich, Vladimir Samuilovich 3 Shikhare, Pallavi U. 3 Tsaava, Medea 3 Vinh, Pham Chi 3 Wang, Jinrong 3 Zada, Akbar 2 Amin, Rohul 2 Ayub, Muhammad 2 Bastos, Maria Amélia 2 Guerra, Rita Correia 2 Jung, Soon-Mo 2 Karlovich, Yuri I. 2 Karlovych, Oleksiy 2 Kobayashi, Yuji 2 Lebre, Amarino Brites 2 Li, Pingrun 2 Li, XueZhu 2 Luzzini, Paolo 2 Messerschmidt, Miek 2 Nieto Roig, Juan Jose 2 Pukhtayevych, Roman Petrovych 2 Ran, André C. M. 2 Sawano, Yoshihiro 2 Shah, Kamal 2 Sharma, P. B. 2 Silbermann, Bernd 2 Simões, Alberto M. 2 Soltani, Fethi 2 Takahasi, Sin-Ei 2 Teixeira, Francisco S. 2 ter Horst, Sanne 2 Vu Kim Tuan 2 Xu, Tianzhou 2 Yang, Zhanpeng 1 Abdeljawad, Thabet 1 Abrahams, I. David 1 Ahmadian, Ali 1 Akel, Mohamed S. 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 Alrabaiah, Hussam 1 Amara, Abdelkader 1 Arab, Reza 1 Arshad, Noreen Izza 1 Assier, Raphaël C. 1 Baghani, Omid 1 Bahyrycz, Anna 1 Băleanu, Dumitru I. 1 Baratchart, Laurent 1 Ben Chikh, Salim 1 Ben Makhlouf, Abdellatif 1 Bénichou, Olivier 1 Bernardino, N. J. 1 Beyrami, Hossein 1 Bogveradze, Giorgi 1 Bota, Monica-Felicia 1 Brillouët-Belluot, Nicole 1 Cardone, Angelamaria 1 Chehade, Samar 1 Christian, Shraddha 1 Conte, Dajana 1 Dalla Riva, Matteo 1 D’Ambrosio, Raffaele 1 Darmon, Michel 1 Darwish, Mohamed Abdalla 1 Das, Anupam 1 Deng, Caixia 1 dos Santos, António Ferreira 1 Du, Qungui 1 Du, Wei-Shih 1 Duc, Dinh Thanh 1 Dung, Vu Tien 1 Eghbali, Nasrin ...and 112 more Authors all top 5 Cited in 95 Serials 11 Journal of Mathematical Analysis and Applications 8 Mathematical Methods in the Applied Sciences 8 Complex Analysis and Operator Theory 6 Integral Equations and Operator Theory 6 Journal of Integral Equations and Applications 5 Abstract and Applied Analysis 4 Georgian Mathematical Journal 4 Mediterranean Journal of Mathematics 3 Numerical Functional Analysis and Optimization 3 Results in Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Fractals 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 Mathematische Nachrichten 2 Acta Applicandae Mathematicae 2 Computational and Applied Mathematics 2 Integral Transforms and Special Functions 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Complex Variables and Elliptic Equations 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 Demonstratio Mathematica 1 Dissertationes Mathematicae 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Meccanica 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Tokyo Journal of Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Journal of Computational Mathematics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 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 The Journal of Analysis 1 Turkish Journal of Mathematics 1 Advances in Applied Clifford Algebras 1 Filomat 1 Random Operators and Stochastic Equations 1 Mathematical Problems in Engineering 1 Mathematics and Mechanics of Solids 1 Revista Matemática Complutense 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. A. Solids 1 Analysis (München) 1 Russian Physics Journal 1 Lobachevskii Journal of Mathematics 1 Applied Sciences 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 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 Advances in Difference Equations 1 Journal of Fixed Point Theory and Applications 1 Networks and Heterogeneous Media 1 Asian-European Journal of Mathematics 1 Journal of Nonlinear Science and Applications 1 Differential Equations and Applications 1 International Journal of Nonlinear Analysis and Applications 1 Journal of Pseudo-Differential Operators and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Spectral Theory 1 Eurasian Mathematical Journal 1 Journal of Applied Mathematics & Informatics 1 Afrika Matematika 1 Arabian Journal of Mathematics 1 Axioms 1 Journal of Classical Analysis 1 Journal of Linear and Topological Algebra 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Transactions of A. Razmadze Mathematical Institute 1 Bollettino dell’Unione Matematica Italiana 1 AIMS Mathematics 1 Constructive Mathematical Analysis all top 5 Cited in 28 Fields 65 Operator theory (47-XX) 59 Integral equations (45-XX) 54 Partial differential equations (35-XX) 24 Ordinary differential equations (34-XX) 24 Functional analysis (46-XX) 20 Functions of a complex variable (30-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 18 Optics, electromagnetic theory (78-XX) 15 Mechanics of deformable solids (74-XX) 13 Integral transforms, operational calculus (44-XX) 13 Numerical analysis (65-XX) 12 Difference and functional equations (39-XX) 11 Real functions (26-XX) 10 Potential theory (31-XX) 6 Fluid mechanics (76-XX) 4 Abstract harmonic analysis (43-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year