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Pinheiro de Castro, Luís Filipe

Author ID:
castro.luis-pinheiro Recent zbMATH articles by "Pinheiro de Castro, Luís Filipe"
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.
External Links:
MGP ·ORCID ·Wikidata
Reviewing Activity:
337 Reviews
alltop 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 Forum Mathematicum
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
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1 Communications in Mathematical Analysis
1 International Journal of Modern Mathematics
1 Asian-European Journal of Mathematics
1 Afrika Matematika
1 Mathematical Sciences
1 Journal of Classical Analysis
1 Constructive Mathematical Analysis
alltop 5

Fields

91 Operator theory (47-XX)
48 Partial differential equations (35-XX)
48 Integral equations (45-XX)
31 Harmonic analysis on Euclidean spaces (42-XX)
30 Functional analysis (46-XX)
23 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 Real functions (26-XX)
4 Several complex variables and analytic spaces (32-XX)
4 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 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

Citations contained in zbMATH Open

100 Publications have been cited 609 times in278 DocumentsCited by ▼Year ▼
Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations. Zbl 1177.45010
Castro, L. P.;Ramos, A.
2009
New convolutions for quadratic-phase Fourier integral operators and their applications. Zbl 1390.44013
Castro, L. P.;Minh, L. T.;Tuan, N. M.
2018
Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric. Zbl 1405.45010
Castro, L. P.;Simões, A. M.
2018
Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations. Zbl 1499.45034
Castro, L. P.;Simões, A. M.
2017
On a class of wedge diffraction problems posted by Erhard Meister. Zbl 1187.35029
Castro, Luis P.;Speck, Frank-Olme;Teixeira, Francisco S.
2004
Mixed boundary value problems for the Helmholtz equation in a quadrant. Zbl 1206.35089
Castro, L. P.;Speck, F.-O.;Teixeira, F. S.
2006
Quadratic Fourier transforms. Zbl 1278.42005
Castro, L. P.;Haque, M. R.;Murshed, M. M.;Saitoh, S.;Tuan, N. M.
2014
Effective conductivity of a composite material with non-ideal contact conditions. Zbl 1184.30029
Castro, L. P.;Pesetskaya, E.;Rogosin, S. V.
2009
Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions. Zbl 1189.35396
Castro, L. P.;Kapanadze, D.
2010
Regularity properties and generalized inverses of delta-related operators. Zbl 0918.47026
Castro, L. P.;Speck, F.-O.
1998
Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems. Zbl 1185.35055
Castro, L. P.;Kapanadze, D.
2008
Explicit solutions of Cauchy singular integral equations with weighted Carleman shift. Zbl 1198.45004
Castro, L. P.;Rojas, E. M.
2010
Relations between convolution type operators on intervals and on the half-line. Zbl 0974.47023
Castro, L. P.;Speck, F.-O.
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.
2003
New convolutions and norm inequalities. Zbl 1254.44007
Castro, L. P.;Saitoh, S.
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.
2012
Diffraction from polygonal-conical screens, an operator approach. Zbl 1322.78008
Castro, Luís P.;Duduchava, Roland;Speck, Frank-Olme
2014
Localization and minimal normalization of some basic mixed boundary value problems. Zbl 1055.35154
Castro, Luís P.;Duduchava, Roland;Speck, Frank-Olme
2003
Wave diffraction by wedges having arbitrary aperture angle. Zbl 1300.35005
Castro, L. P.;Kapanadze, D.
2015
On the characterization of the intermediate space in generalized factorizations. Zbl 0840.47015
Castro, L. P.;Speck, F.-O.
1995
Hyers-Ulam-Rassias stability of Volterra integral equations within weighted spaces. Zbl 1330.45010
Castro, L. P.;Guerra, R. C.
2013
A transmission problem with imperfect contact for an unbounded multiply connected domain. Zbl 1187.30035
Castro, L. P.;Pesetskaya, E.
2010
The impedance boundary-value problem of diffraction by a strip. Zbl 1151.35015
Castro, L. P.;Kapanadze, D.
2008
A heat conduction problem of 2D unbounded composites with imperfect contact conditions. Zbl 1326.74037
Castro, L. P.;Kapanadze, D.;Pesetskaya, E.
2015
A direct approach to convolution type operators with symmetry. Zbl 1082.47024
Castro, L. P.;Speck, F.-O.;Teixeira, F. S.
2004
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
2020
Hyers-Ulam and Hyers-Ulam-Rassias stability of Volterra integral equations with delay. Zbl 1196.45010
Castro, L. P.;Ramos, A.
2010
Effective conductivity of a composite material with stiff imperfect contact conditions. Zbl 1345.31005
Castro, L. P.;Kapanadze, D.;Pesetskaya, E.
2015
Toeplitz plus Hankel operators with infinite index. Zbl 1194.47029
Bogveradze, G.;Castro, L. P.
2008
On wave diffraction by a half-plane with different face impedances. Zbl 1128.78005
Castro, L. P.;Kapanadze, D.
2007
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
2013
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.
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.
2008
Wave diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1259.35071
Castro, L. P.;Kapanadze, D.
2013
Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions. Zbl 1145.78308
Castro, L. P.;Kapanadze, D.
2008
A Duduchava–Saginashvili’s type theory for Wiener–Hopf plus Hankel operators. Zbl 1116.47026
Nolasco, A. P.;Castro, L. P.
2007
Inversion of matrix convolution type operators with symmetry. Zbl 1093.47029
Castro, L. P.;Speck, F.-O.
2005
Regularity of convolution type operators with PC symbols in Bessel potential spaces over two finite intervals. Zbl 1048.47033
Castro, L. P.
2003
New convolutions weighted by Hermite functions and their applications. Zbl 1430.45003
Castro, L. P.;Guerra, R. C.;Tuan, N. M.
2019
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.
2014
On Wiener’s Tauberian theorems and convolution for oscillatory integral operators. Zbl 1440.42035
de Castro, Luis Pinheiro;Guerra, Rita Correia;Tuan, Nguyen Minh
2019
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.
2012
A semi-Fredholm theory for Wiener-Hopf-Hankel operators with piecewise almost periodic Fourier symbols. Zbl 1211.47012
Castro, L. P.;Nolasco, A. P.
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.
2009
Finite interval convolution operators with transmission property. Zbl 1099.47027
Castro, L. P.;Duduchava, R.;Speck, F.-O.
2005
On the inversion of higher order Wiener-Hopf operators. Zbl 0873.47015
Castro, L. P.;Speck, F.-O.
1996
How to catch smoothing properties and analyticity of functions by computers? Zbl 1328.65126
Castro, L. P.;Fujiwara, H.;Qian, T.;Saitoh, S.
2014
On the solvability of singular integral equations with reflection on the unit circle. Zbl 1220.45002
Castro, L. P.;Rojas, E. M.
2011
The potential method for the reactance wave diffraction problem in a scale of spaces. Zbl 1220.35023
Castro, Luis P.;Natroshvili, David
2006
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.
2015
Fractional functions and their representations. Zbl 1285.46024
Castro, L. P.;Saitoh, S.
2013
Wave diffraction by a 270 degrees wedge sector with Dirichlet, Neumann and impedance boundary conditions. Zbl 1235.35185
Castro, L.;Kapanadze, D.
2011
Reduction of singular integral operators with flip and their Fredholm property. Zbl 1176.47034
Castro, L. P.;Rojas, E. M.
2008
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
2019
A new convolution operator for the linear canonical transform with applications. Zbl 1476.44003
Castro, Luís P.;Goel, Navdeep;Silva, Anabela S.
2021
Optimal and approximate solutions of singular integral equations by means of reproducing kernels. Zbl 1285.45001
Castro, L. P.;Saitoh, S.
2013
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.
2014
On integral operators generated by the Fourier transform and a reflection. Zbl 1333.42010
Castro, L. P.;Guerra, R. C.;Tuan, N. M.
2015
A new discretization method by means of reproducing kernels. Zbl 1314.65076
Castro, L. P.;Fujiwara, H.;Rodrigues, M. M.;Saitoh, S.
2012
An operator approach for an oblique derivative boundary-transmission problem. Zbl 1151.35323
Castro, L. P.;Moura Santos, A.
2004
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
2012
Source inversion of heat conduction from a finite number of observation data. Zbl 1197.65132
Castro, L. P.;Chen, Q.;Saitoh, S.
2010
Solvability of singular integro-differential equations with multiple complex shifts. Zbl 1167.45005
Pinheiro De Castro, Luís;Duduchava, Roland;Speck, Frank-Olme
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.
2007
Similarity transformation methods for singular integral operators with reflection on weighted Lebesgue spaces. Zbl 1165.47034
Castro, L. P.;Rojas, E. M.
2008
Asymmetric factorizations of matrix functions on the real line. Zbl 1120.47014
Castro, L. P.;Duduchava, R.;Speck, F.-O.
2006
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
2012
Mixed impedance boundary value problems for the Laplace-Beltrami equation. Zbl 1454.35128
Castro, Luis;Duduchava, Roland;Speck, Frank-Olme
2020
Factorization of Wiener–Hopf plus Hankel operators with \(APW\) Fourier symbols. Zbl 1065.47031
Nolasco, A. P.;Castro, L. P.
2004
Solution of a Sommerfeld diffraction problem with a real wave number. Zbl 1078.78006
Castro, Luis P.
2004
A composite material with inextensible-membrane-type interface. Zbl 1447.74013
Castro, L. P.;Pesetskaya, E.
2019
On the solution and Ulam-Hyers-Rassias stability of a Caputo fractional boundary value problem. Zbl 1516.34010
Castro, Luís P.;Silva, Anabela S.
2022
Invertibility criteria for Wiener-Hopf plus Hankel operators with different almost periodic Fourier symbol matrices. Zbl 1282.47037
Castro, L. P.;Silva, A. S.
2013
Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1294.35009
Castro, Luis P.;Kapanadze, David
2014
Wiener-Hopf plus Hankel operators on the real line with unitary and sectorial symbols. Zbl 1114.47032
Bogveradze, G.;Castro, L. P.
2006
Factorization theory for Wiener–Hopf plus Hankel operators with almost periodic symbols. Zbl 1118.47021
Nolasco, A. P.;Castro, L. P.
2006
Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations. Zbl 1185.47026
Bogveradze, G.;Castro, L. P.
2009
Discrete linear differential equations. Zbl 1269.34011
Castro, Luis P.;Saitoh, Saburou;Sawano, Yoshihiro;Silva, Anabela S.
2012
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.
2010
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.
2015
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.
2007
New convolutions with Hermite weight functions. Zbl 1489.44006
Castro, Luís Pinheiro;Silva, Anabela Sousa;Tuan, Nguyen Minh
2021
Well-posedness of diffraction problems involving \(n\) coplanar strips. Zbl 1040.78007
Castro, Luís Pinheiro de;Speck, Frank-Olme
2003
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.
2016
Properties of a composite material with mixed imperfect contact conditions. Zbl 1488.30226
De Castro, Luís Filipe Pinheiro;Pesetskaya, Ekaterina
2016
Integral equations of convolution type on unions of intervals. Zbl 0898.45006
Castro, L. P.
1997
An operator approach to a boundary value problem for the Helmholtz equation. Zbl 0952.35015
Castro, L. P.;Speck, F.-O.
2000
Initial value problems in linear integral operator equations. Zbl 1325.45016
Castro, L. P.;Rodrigues, M. M.;Saitoh, S.
2014
Invertibility of singular integral operators with flip through explicit operator relations. Zbl 1196.45014
Castro, L. P.;Rojas, E. M.
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.
2010
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.
1997
Invertibility properties of matrix Wiener–Hopf plus Hankel integral operators. Zbl 1152.47020
Bogveradze, G.;Castro, L. P.
2008
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.
2013
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.
2015
Uncertainty principles and integral equations associated with a quadratic-phase wavelet transform. Zbl 1537.42003
Castro, L. P.;Guerra, R. C.
2023
Filter design based on the fractional Fourier transform associated with new convolutions and correlations. Zbl 1540.44011
Castro, L. P.;Minh, L. T.;Tuan, N. M.
2023
Diffraction by a strip and by a half-plane with variable face impedances. Zbl 1189.35053
Castro, Luís P.;Kapanadze, David
2008
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.
2011
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.
2005
Donoho-Stark and Price uncertainty principles for a class of \(q\)-integral transforms with bounded kernels. Zbl 1548.42014
Castro, Luis P.;Guerra, Rita C.
2024
Donoho-Stark and Price uncertainty principles for a class of \(q\)-integral transforms with bounded kernels. Zbl 1548.42014
Castro, Luis P.;Guerra, Rita C.
2024
Uncertainty principles and integral equations associated with a quadratic-phase wavelet transform. Zbl 1537.42003
Castro, L. P.;Guerra, R. C.
2023
Filter design based on the fractional Fourier transform associated with new convolutions and correlations. Zbl 1540.44011
Castro, L. P.;Minh, L. T.;Tuan, N. M.
2023
On the solution and Ulam-Hyers-Rassias stability of a Caputo fractional boundary value problem. Zbl 1516.34010
Castro, Luís P.;Silva, Anabela S.
2022
A new convolution operator for the linear canonical transform with applications. Zbl 1476.44003
Castro, Luís P.;Goel, Navdeep;Silva, Anabela S.
2021
New convolutions with Hermite weight functions. Zbl 1489.44006
Castro, Luís Pinheiro;Silva, Anabela Sousa;Tuan, Nguyen Minh
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
2020
Mixed impedance boundary value problems for the Laplace-Beltrami equation. Zbl 1454.35128
Castro, Luis;Duduchava, Roland;Speck, Frank-Olme
2020
New convolutions weighted by Hermite functions and their applications. Zbl 1430.45003
Castro, L. P.;Guerra, R. C.;Tuan, N. M.
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
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
2019
A composite material with inextensible-membrane-type interface. Zbl 1447.74013
Castro, L. P.;Pesetskaya, E.
2019
New convolutions for quadratic-phase Fourier integral operators and their applications. Zbl 1390.44013
Castro, L. P.;Minh, L. T.;Tuan, N. M.
2018
Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric. Zbl 1405.45010
Castro, L. P.;Simões, A. M.
2018
Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations. Zbl 1499.45034
Castro, L. P.;Simões, A. M.
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.
2016
Properties of a composite material with mixed imperfect contact conditions. Zbl 1488.30226
De Castro, Luís Filipe Pinheiro;Pesetskaya, Ekaterina
2016
Wave diffraction by wedges having arbitrary aperture angle. Zbl 1300.35005
Castro, L. P.;Kapanadze, D.
2015
A heat conduction problem of 2D unbounded composites with imperfect contact conditions. Zbl 1326.74037
Castro, L. P.;Kapanadze, D.;Pesetskaya, E.
2015
Effective conductivity of a composite material with stiff imperfect contact conditions. Zbl 1345.31005
Castro, L. P.;Kapanadze, D.;Pesetskaya, E.
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.
2015
On integral operators generated by the Fourier transform and a reflection. Zbl 1333.42010
Castro, L. P.;Guerra, R. C.;Tuan, N. M.
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.
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.
2015
Quadratic Fourier transforms. Zbl 1278.42005
Castro, L. P.;Haque, M. R.;Murshed, M. M.;Saitoh, S.;Tuan, N. M.
2014
Diffraction from polygonal-conical screens, an operator approach. Zbl 1322.78008
Castro, Luís P.;Duduchava, Roland;Speck, Frank-Olme
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.
2014
How to catch smoothing properties and analyticity of functions by computers? Zbl 1328.65126
Castro, L. P.;Fujiwara, H.;Qian, T.;Saitoh, S.
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.
2014
Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1294.35009
Castro, Luis P.;Kapanadze, David
2014
Initial value problems in linear integral operator equations. Zbl 1325.45016
Castro, L. P.;Rodrigues, M. M.;Saitoh, S.
2014
Hyers-Ulam-Rassias stability of Volterra integral equations within weighted spaces. Zbl 1330.45010
Castro, L. P.;Guerra, R. C.
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
2013
Wave diffraction by a half-plane with an obstacle perpendicular to the boundary. Zbl 1259.35071
Castro, L. P.;Kapanadze, D.
2013
Fractional functions and their representations. Zbl 1285.46024
Castro, L. P.;Saitoh, S.
2013
Optimal and approximate solutions of singular integral equations by means of reproducing kernels. Zbl 1285.45001
Castro, L. P.;Saitoh, S.
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.
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.
2013
New convolutions and norm inequalities. Zbl 1254.44007
Castro, L. P.;Saitoh, S.
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.
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.
2012
A new discretization method by means of reproducing kernels. Zbl 1314.65076
Castro, L. P.;Fujiwara, H.;Rodrigues, M. M.;Saitoh, S.
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
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
2012
Discrete linear differential equations. Zbl 1269.34011
Castro, Luis P.;Saitoh, Saburou;Sawano, Yoshihiro;Silva, Anabela S.
2012
On the solvability of singular integral equations with reflection on the unit circle. Zbl 1220.45002
Castro, L. P.;Rojas, E. M.
2011
Wave diffraction by a 270 degrees wedge sector with Dirichlet, Neumann and impedance boundary conditions. Zbl 1235.35185
Castro, L.;Kapanadze, D.
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.
2011
Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions. Zbl 1189.35396
Castro, L. P.;Kapanadze, D.
2010
Explicit solutions of Cauchy singular integral equations with weighted Carleman shift. Zbl 1198.45004
Castro, L. P.;Rojas, E. M.
2010
A transmission problem with imperfect contact for an unbounded multiply connected domain. Zbl 1187.30035
Castro, L. P.;Pesetskaya, E.
2010
Hyers-Ulam and Hyers-Ulam-Rassias stability of Volterra integral equations with delay. Zbl 1196.45010
Castro, L. P.;Ramos, A.
2010
Source inversion of heat conduction from a finite number of observation data. Zbl 1197.65132
Castro, L. P.;Chen, Q.;Saitoh, S.
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.
2010
Invertibility of singular integral operators with flip through explicit operator relations. Zbl 1196.45014
Castro, L. P.;Rojas, E. M.
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.
2010
Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations. Zbl 1177.45010
Castro, L. P.;Ramos, A.
2009
Effective conductivity of a composite material with non-ideal contact conditions. Zbl 1184.30029
Castro, L. P.;Pesetskaya, E.;Rogosin, S. V.
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.
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.
2009
Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations. Zbl 1185.47026
Bogveradze, G.;Castro, L. P.
2009
Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems. Zbl 1185.35055
Castro, L. P.;Kapanadze, D.
2008
The impedance boundary-value problem of diffraction by a strip. Zbl 1151.35015
Castro, L. P.;Kapanadze, D.
2008
Toeplitz plus Hankel operators with infinite index. Zbl 1194.47029
Bogveradze, G.;Castro, L. P.
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.
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.
2008
Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions. Zbl 1145.78308
Castro, L. P.;Kapanadze, D.
2008
Reduction of singular integral operators with flip and their Fredholm property. Zbl 1176.47034
Castro, L. P.;Rojas, E. M.
2008
Solvability of singular integro-differential equations with multiple complex shifts. Zbl 1167.45005
Pinheiro De Castro, Luís;Duduchava, Roland;Speck, Frank-Olme
2008
Similarity transformation methods for singular integral operators with reflection on weighted Lebesgue spaces. Zbl 1165.47034
Castro, L. P.;Rojas, E. M.
2008
Invertibility properties of matrix Wiener–Hopf plus Hankel integral operators. Zbl 1152.47020
Bogveradze, G.;Castro, L. P.
2008
Diffraction by a strip and by a half-plane with variable face impedances. Zbl 1189.35053
Castro, Luís P.;Kapanadze, David
2008
On wave diffraction by a half-plane with different face impedances. Zbl 1128.78005
Castro, L. P.;Kapanadze, D.
2007
A Duduchava–Saginashvili’s type theory for Wiener–Hopf plus Hankel operators. Zbl 1116.47026
Nolasco, A. P.;Castro, L. P.
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.
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.
2007
Mixed boundary value problems for the Helmholtz equation in a quadrant. Zbl 1206.35089
Castro, L. P.;Speck, F.-O.;Teixeira, F. S.
2006
The potential method for the reactance wave diffraction problem in a scale of spaces. Zbl 1220.35023
Castro, Luis P.;Natroshvili, David
2006
Asymmetric factorizations of matrix functions on the real line. Zbl 1120.47014
Castro, L. P.;Duduchava, R.;Speck, F.-O.
2006
Wiener-Hopf plus Hankel operators on the real line with unitary and sectorial symbols. Zbl 1114.47032
Bogveradze, G.;Castro, L. P.
2006
Factorization theory for Wiener–Hopf plus Hankel operators with almost periodic symbols. Zbl 1118.47021
Nolasco, A. P.;Castro, L. P.
2006
Inversion of matrix convolution type operators with symmetry. Zbl 1093.47029
Castro, L. P.;Speck, F.-O.
2005
Finite interval convolution operators with transmission property. Zbl 1099.47027
Castro, L. P.;Duduchava, R.;Speck, F.-O.
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.
2005
On a class of wedge diffraction problems posted by Erhard Meister. Zbl 1187.35029
Castro, Luis P.;Speck, Frank-Olme;Teixeira, Francisco S.
2004
A direct approach to convolution type operators with symmetry. Zbl 1082.47024
Castro, L. P.;Speck, F.-O.;Teixeira, F. S.
2004
An operator approach for an oblique derivative boundary-transmission problem. Zbl 1151.35323
Castro, L. P.;Moura Santos, A.
2004
Factorization of Wiener–Hopf plus Hankel operators with \(APW\) Fourier symbols. Zbl 1065.47031
Nolasco, A. P.;Castro, L. P.
2004
Solution of a Sommerfeld diffraction problem with a real wave number. Zbl 1078.78006
Castro, Luis P.
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.
2003
Localization and minimal normalization of some basic mixed boundary value problems. Zbl 1055.35154
Castro, Luís P.;Duduchava, Roland;Speck, Frank-Olme
2003
Regularity of convolution type operators with PC symbols in Bessel potential spaces over two finite intervals. Zbl 1048.47033
Castro, L. P.
2003
Well-posedness of diffraction problems involving \(n\) coplanar strips. Zbl 1040.78007
Castro, Luís Pinheiro de;Speck, Frank-Olme
2003
Relations between convolution type operators on intervals and on the half-line. Zbl 0974.47023
Castro, L. P.;Speck, F.-O.
2000
An operator approach to a boundary value problem for the Helmholtz equation. Zbl 0952.35015
Castro, L. P.;Speck, F.-O.
2000
Regularity properties and generalized inverses of delta-related operators. Zbl 0918.47026
Castro, L. P.;Speck, F.-O.
1998
Integral equations of convolution type on unions of intervals. Zbl 0898.45006
Castro, L. P.
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.
1997
On the inversion of higher order Wiener-Hopf operators. Zbl 0873.47015
Castro, L. P.;Speck, F.-O.
1996
On the characterization of the intermediate space in generalized factorizations. Zbl 0840.47015
Castro, L. P.;Speck, F.-O.
1995
alltop 5

Cited by 367 Authors

51 Pinheiro de Castro, Luís Filipe
14 Speck, Frank-Olme
11 Musolino, Paolo
10 Kapanadze, David
10 Nguyen Minh Tuan
10 Saitoh, Saburou
9 Silva, Anabela Sousa
7 Abbas, Said
7 Benchohra, Mouffak
7 Guerra, Rita Correia
7 Mejjaoli, Hatem
7 Merzon, Anatolĭ E.
7 Prasad, Akhilesh
6 de la Paz Méndez, José Eligio
6 Duduchava, Roland
6 Lanza de Cristoforis, Massimo
6 Pesetskaya, Ekaterina V.
6 Sharma, Pratap Bhanu
5 Li, Pingrun
5 Rojas, Edixon Manuel
5 Simões, Alberto Manuel
5 Tunç, Cemil
5 Zada, Akbar
4 Ciepliński, Krzysztof
4 Dar, Aamir Hamid
4 Santos, A. Moura
4 ter Horst, Sanne
3 Akel, Mohamed S.
3 Brzdęk, Janusz
3 Didenko, Victor D.
3 Kucche, Kishor D.
3 Kumar, Manish
3 Mai, Weixiong
3 Messerschmidt, Miek
3 Pukhtayevych, Roman Petrovych
3 Rabinovich, Vladimir Samuilovich
3 Ran, André C. M.
3 Shah, Firdous Ahmad
3 Shikhare, Pallavi U.
3 Tsaava, Medea
3 Tunç, Osman
3 Vinh, Pham Chi
3 Wang, Jinrong
3 Zhevandrov, Peter N.
2 Abdeljawad, Thabet
2 Amara, Abdelkader
2 Amin, Rohul
2 Ayub, Muhammad
2 Bai, Songwei
2 Bastos, Maria Amélia
2 Bhat, Mohammad Younus
2 Bhawna
2 Gençtürk, İlker
2 Ha, Quan Thai
2 He, Yubo
2 Jung, Soon-Mo
2 Karlovich, Yuri I.
2 Karlovych, Oleksiy
2 Kobayashi, Yuji
2 Komech, Alexander Ilich
2 Lebre, Amarino Brites
2 Li, XueZhu
2 Lone, Waseem Z.
2 Luzzini, Paolo
2 Marian, Daniela
2 Minh, L. T.
2 Ngoc, Ngo Phuoc Nguyen
2 Nieto Roig, Juan Jose
2 Qian, Tao
2 Rezapour, Shahram
2 Rodríguez, M. I. Romero
2 Roelands, Mark
2 Saadati, Reza
2 Santos, Pedro A.
2 Sawano, Yoshihiro
2 Shah, Kamal
2 Silbermann, Bernd
2 Soltani, Fethi
2 Sun, Meng
2 Takahasi, Sin-Ei
2 Teixeira, Francisco S.
2 Trimèche, Khalifa
2 Trinh Tuan
2 Villalba-Vega, T. J.
2 Vu Kim Tuan
2 Xu, Tianzhou
2 Yang, Zhanpeng
2 Zhang, Shuqin
2 Zhou, Jueliang
1 Abdalla, Bahaaeldin
1 Abdalla, Manal Z. M.
1 Abdalla, Mohamed
1 Abrahams, I. David
1 Abuchu, Jacob Ashiwere
1 Aderyani, Safoura Rezaei
1 Ahmadian, Ali
1 Akgül, Ali
1 Akkouchi, Mohamed
1 Al-Khateeb, Areen
1 Al Qurashi, Maysaa' Mohamed
...and 267 more Authors
alltop 5

Cited in 124 Serials

28 Mathematical Methods in the Applied Sciences
13 Journal of Mathematical Analysis and Applications
10 Complex Analysis and Operator Theory
7 Journal of Pseudo-Differential Operators and Applications
6 Integral Equations and Operator Theory
6 Journal of Integral Equations and Applications
6 Georgian Mathematical Journal
5 Integral Transforms and Special Functions
5 Abstract and Applied Analysis
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 Mediterranean Journal of Mathematics
4 Demonstratio Mathematica
4 Results in Mathematics
4 Journal of Mathematical Sciences (New York)
4 Turkish Journal of Mathematics
4 Fractals
4 Boundary Value Problems
4 Complex Variables and Elliptic Equations
3 Applied Mathematics and Computation
3 Mathematische Nachrichten
3 Numerical Functional Analysis and Optimization
3 Zeitschrift für Analysis und ihre Anwendungen
3 Computational and Applied Mathematics
3 Boletín de la Sociedad Matemática Mexicana. Third Series
3 Journal of Inequalities and Applications
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Wave Motion
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Acta Applicandae Mathematicae
2 The Journal of Analysis
2 Advances in Applied Clifford Algebras
2 Filomat
2 Random Operators and Stochastic Equations
2 European Journal of Mechanics. A. Solids
2 Qualitative Theory of Dynamical Systems
2 Advances in Difference Equations
2 Asian-European Journal of Mathematics
2 Differential Equations and Applications
2 Afrika Matematika
2 Arabian Journal of Mathematics
2 Journal of Applied Analysis and Computation
2 International Journal of Applied and Computational Mathematics
2 Constructive Mathematical Analysis
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 Mathematical Notes
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 Journal of Functional Analysis
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 Studies in Applied Mathematics
1 Tokyo Journal of Mathematics
1 Bulletin of the Iranian Mathematical Society
1 Journal of Computational Mathematics
1 Applied Numerical Mathematics
1 Facta Universitatis. Series Mathematics and Informatics
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 The Journal of Fourier Analysis and Applications
1 Mathematical Problems in Engineering
1 Mathematics and Mechanics of Solids
1 Mathematical Inequalities \& Applications
1 Chaos
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 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 Journal of Applied Mathematics and Computing
...and 24 more Serials
alltop 5

Cited in 34 Fields

107 Operator theory (47-XX)
100 Integral equations (45-XX)
73 Partial differential equations (35-XX)
49 Harmonic analysis on Euclidean spaces (42-XX)
42 Ordinary differential equations (34-XX)
38 Functional analysis (46-XX)
35 Integral transforms, operational calculus (44-XX)
27 Functions of a complex variable (30-XX)
25 Optics, electromagnetic theory (78-XX)
24 Real functions (26-XX)
20 Numerical analysis (65-XX)
19 Difference and functional equations (39-XX)
19 Mechanics of deformable solids (74-XX)
16 Abstract harmonic analysis (43-XX)
12 Potential theory (31-XX)
10 Information and communication theory, circuits (94-XX)
5 Number theory (11-XX)
5 Probability theory and stochastic processes (60-XX)
5 Fluid mechanics (76-XX)
4 Special functions (33-XX)
4 Approximations and expansions (41-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 General topology (54-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 History and biography (01-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Quantum theory (81-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)
1 Systems theory; control (93-XX)

Citations by Year

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