Integral transforms in Hilbert spaces

DOI10.3792/pjaa.58.361zbMath0513.44002OpenAlexW2061094117MaRDI QIDQ1050577

Saburou Saitoh

Publication date: 1982

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.58.361

zbMATH Keywords

Hilbert spacereproducing kernelnorm inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Norms (inequalities, more than one norm, etc.) of linear operators (47A30)

Related Items (10)

Cauchy integrals for \(L_ 2\) functions ⋮ One approach to some general integral transforms and its applications ⋮ Inversions of Hermite Semigroup ⋮ Hilbert Spaces Induced by Hilbert Space Valued Functions ⋮ Some fundamental interpolation problems for analytic and harmonic functions of class l₂ ⋮ Integral transforms by green's function on rⁿ ⋮ Fourier-Laplace Transforms and the Bergman Spaces ⋮ Fourier-Laplace Transforms and the Bergman Spaces ⋮ On the convolution of \(L_ 2\) functions ⋮ Integral transforms in linear equations of parabolic type with constant coefficients

Cites Work

• Unnamed Item
• Total positivity of certain reproducing kernels
• On the zeros of functions with finite Dirichlet integral and some related function spaces
• Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
• COMPLEX FOURIER--BESSEL TRANSFORMS
• Theory of Reproducing Kernels

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