Spectral synthesis in de Branges spaces

DOI10.1007/s00039-015-0322-yzbMath1334.46022arXiv1309.6915OpenAlexW1993067582MaRDI QIDQ2345931

Yurii Belov, Alexander Borichev, Anton D. Baranov

Publication date: 21 May 2015

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6915

zbMATH Keywords

reproducing kernelspectral synthesisde Branges spaceFock-type spaces of entire functions

Mathematics Subject Classification ID

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) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (21)

Fractional Paley-Wiener and Bernstein spaces ⋮ Spectral synthesis in Hilbert spaces of entire functions ⋮ Summation methods for Fourier series with respect to the Azoff-Shehada system ⋮ Geometric Properties of Reproducing Kernels in Hilbert Spaces of Entire Functions ⋮ Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators ⋮ Geometry of reproducing kernels in model spaces near the boundary ⋮ Krein-type theorems and ordered structure for Cauchy-de Branges spaces ⋮ Fock type spaces with Riesz bases of reproducing kernels and de Branges spaces ⋮ Summability properties of Gabor expansions ⋮ A stability problem for some complete and minimal Gabor systems in $L^2(\mathbb {R})$ ⋮ Synthesizable differentiation-invariant subspaces ⋮ A spectral Szegő theorem on the real line ⋮ De Branges spaces and Fock spaces ⋮ Higher order local Dirichlet integrals and de Branges-Rovnyak spaces ⋮ Jacobi matrices with lacunary spectrum ⋮ Riesz bases of reproducing kernels in small Fock spaces ⋮ Bessel sequences with finite upper density in de Branges spaces ⋮ Spectral theory of rank one perturbations of normal compact operators ⋮ Complete interpolating sequences for small Fock spaces ⋮ On the k point density problem for band-diagonal M-bases ⋮ Spectral synthesis for exponentials and logarithmic length

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