The Reproducing Kernel Property and Its Space: More or Less Standard Examples of Applications

DOI10.1007/978-3-0348-0667-1_70zbMath1342.46027OpenAlexW1510245536MaRDI QIDQ3462165

Franciszek Hugon Szafraniec

Publication date: 4 January 2016

Published in: Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0667-1_70

zbMATH Keywords

reproducing kernel Hilbert spacesBergman spacesHardy spacesdilation theoryDirichlet spacesSegal-Bargmann spaces\(q\)-spaces

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Bergman spaces of functions in several complex variables (32A36) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20)

Related Items

Composition operators on Hilbert spaces of entire functions with analytic symbols, Holomorphic Hermite polynomials in two variables, The Reproducing Kernel Property and Its Space: The Basics, Reproducing kernel Hilbert spaces via sampling in discrete spaces, The complex moment problem of Dirichlet type, Revitalising Pedrick's approach to reproducing kernel Hilbert spaces, Coherence, Squeezing and Entanglement: An Example of Peaceful Coexistence, The Sobolev moment problem and Jordan dilations

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