Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels

DOI10.7494/OPMATH.2012.32.4.633zbMath1279.30004MaRDI QIDQ4908857

Nguyen Minh Tuan, Saburou Saitoh, Luis Filipe Pinheiro de Castro

Publication date: 7 March 2013

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

integral equationconvolutionHilbert spacereproducing kernelTikhonov regularizationnorm inequalitylinear mappinglinear transform

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Convolution, factorization for one variable harmonic analysis (42A85) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) General theory of topological algebras (46H05) Kernel functions in one complex variable and applications (30C40)

Related Items (3)

A Reproducing Kernel Theory with Some General Applications ⋮ New convolutions for quadratic-phase Fourier integral operators and their applications ⋮ Solutions of Tikhonov functional equations and applications to multiplication operators on Szegő spaces

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