Geometric Properties of Reproducing Kernels in Hilbert Spaces of Entire Functions

DOI10.1007/978-3-030-74417-5_4zbMath1504.30072OpenAlexW3214841957MaRDI QIDQ5052084

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Publication date: 21 November 2022

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-74417-5_4

zbMATH Keywords

reproducing kernelsFock spacesPaley-Wiener spaces, de Branges spaces

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Bergman spaces and Fock spaces (30H20) de Branges-Rovnyak spaces (30H45)

Cites Work

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• On summation of nonharmonic Fourier series
• Uniqueness of Gabor series
• Foundations of time-frequency analysis
• Complétude des noyaux reproduisants dans les espaces modèles. (Completeness of reproducing kernels in the model spaces)
• Summability properties of Gabor expansions
• Hereditary completeness for systems of exponentials and reproducing kernels
• Spectral synthesis in de Branges spaces
• Discrete Hilbert transforms on sparse sequences
• Systems of Reproducing Kernels and their Biorthogonal: Completeness or Incompleteness?
• On Complete Biorthogonal Systems
• Density theorems for sampling and interpolation in the Bargmann-Fock space I.
• Spectral theory of rank one perturbations of normal compact operators

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