De Branges spaces and Fock spaces

DOI10.1080/17476933.2017.1409742zbMath1401.46020arXiv1801.01345OpenAlexW2963813524MaRDI QIDQ5745140

Anton D. Baranov, Hélène Bommier-Hato

Publication date: 5 June 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01345

zbMATH Keywords

Hardy spacelevel setFock spaceinner functionreproducing kernel Hilbert spacede Branges spaceHermite-Biehler class

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Special classes of entire functions of one complex variable and growth estimates (30D15) Hardy spaces (30H10)

Related Items (2)

Fractional Paley-Wiener and Bernstein spaces ⋮ Necessary and sufficient condition for boundedness of translation operator in de Branges spaces

Cites Work

• Sampling and interpolation in de Branges spaces with doubling phase
• Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings
• Bergman-type projections in generalized Fock spaces
• Sampling and interpolation in large Bergman and Fock spaces
• Carleson measures for functions orthogonal to invariant subspaces
• Fourier frames
• Spectral synthesis in de Branges spaces
• Fock type spaces with Riesz bases of reproducing kernels and de Branges spaces
• Model functions with nearly prescribed modulus
• Density theorems for sampling and interpolation in the Bargmann-Fock space I.
• Admissible Majorants for Model Subspaces of H², Part I: Slow Winding of the Generating Inner Function
• Admissible Majorants for Model Subspaces of H², Part II: Fast Winding of the Generating Inner Function
• Weighted Paley-Wiener spaces
• Majorants of meromophic functions with fixed poles
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