Completeness and Riesz bases of reproducing kernels in model subspaces

DOI10.1155/IMRN/2006/81530zbMath1118.47007OpenAlexW2032934084MaRDI QIDQ3419737

Anton D. Baranov

Publication date: 7 February 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/imrn/2006/81530

zbMATH Keywords

reproducing kernelmodel space

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Canonical models for contractions and nonselfadjoint linear operators (47A45) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (13)

Uniform boundedness of the derivatives of meromorphic inner functions on the real line ⋮ Asymptotically orthonormal basis and Toeplitz operators ⋮ Geometry of reproducing kernels in model spaces near the boundary ⋮ Perturbation of chains of de Branges spaces ⋮ Admissible majorants for model subspaces, and arguments of inner functions ⋮ Boris Pavlov and bases, as I remember them ⋮ \(L^2\)-Müntz spaces as model spaces ⋮ Sampling in de Branges spaces and Naimark dilation ⋮ Beurling-Malliavin theory for Toeplitz kernels ⋮ On certain Riesz families in vector-valued de Branges-Rovnyak spaces ⋮ Spectral theory of rank one perturbations of normal compact operators ⋮ Density results for continuous frames ⋮ Subsequences of zeros for Bernstein spaces and the completeness of systems of exponentials in spaces of functions on an interval

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