The Reproducing Kernel Property and Its Space: The Basics

DOI10.1007/978-3-0348-0667-1_65zbMath1342.46026OpenAlexW4232685925MaRDI QIDQ3462164

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_65

zbMATH Keywords

Hilbert spacesreproducing kernelpositive definite kernelZaremba formula

Mathematics Subject Classification ID

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) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (20)

Composition operators on Hilbert spaces of entire functions with analytic symbols ⋮ Holomorphic Hermite polynomials in two variables ⋮ The Reproducing Kernel Property and Its Space: More or Less Standard Examples of Applications ⋮ Bergman Kernel in Complex Analysis ⋮ Discrete analytic functions, structured matrices and a new family of moment problems ⋮ Complex symmetric differential operators on Fock space ⋮ FINITE SUM OF COMPOSITION OPERATORS ON FOCK SPACE ⋮ An example of a reproducing kernel Hilbert space ⋮ The complex moment problem of Dirichlet type ⋮ Complex symmetry of generalized weighted composition operators on Fock space ⋮ On a certain space of centrally symmetric polyhedra which is a reproducing kernel Hilbert space ⋮ Weighted composition operators on the Mittag-Leffler spaces of entire functions ⋮ Revitalising Pedrick's approach to reproducing kernel Hilbert spaces ⋮ Noncommutative reproducing kernel Hilbert spaces ⋮ Coherence, Squeezing and Entanglement: An Example of Peaceful Coexistence ⋮ The Sobolev moment problem and Jordan dilations ⋮ Reproducing kernel Hilbert space associated with a unitary representation of a groupoid ⋮ Some particular norm in the Sobolev space \(H^{1}[a,b\)] ⋮ Unbounded weighted composition operators on Fock space ⋮ Positive Hankel operators, positive definite kernels and related topics

Cites Work

• The classical moment problem as a self-adjoint finite difference operator
• Noncommutative complex analysis and Bargmann-Segal multipliers
• The Reproducing Kernel Property and Its Space: More or Less Standard Examples of Applications
• Theory of Reproducing Kernels
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Reproducing Kernel Property and Its Space: The Basics