New convolutions and norm inequalities

DOI10.7153/MIA-15-62zbMath1254.44007OpenAlexW2323104734MaRDI QIDQ2911486

Luis Filipe Pinheiro de Castro, Saburou Saitoh

Publication date: 31 August 2012

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-15-62

zbMATH Keywords

convolutionHilbert spaceintegral transformreproducing kernelnorm inequalitylinear mappinglinear transformToeplitz kernelHankel kernel

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (10)

On the solution of a class of integral equations using new weighted convolutions ⋮ Norm inequalities for Mellin convolutions and their applications ⋮ New convolutions with Hermite weight functions ⋮ Generalized convolution inequalities and application ⋮ Filter design based on the fractional Fourier transform associated with new convolutions and correlations ⋮ New convolutions for quadratic-phase Fourier integral operators and their applications ⋮ A new convolution operator for the linear canonical transform with applications ⋮ New convolutions weighted by Hermite functions and their applications ⋮ Sobolev spaces associated with a Dunkl type differential-difference operator on the real line and applications ⋮ Convolutions and integral equations weighted by multi-dimensional Hermite functions

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