Complétude des noyaux reproduisants dans les espaces modèles. (Completeness of reproducing kernels in the model spaces)

DOI10.5802/aif.1897zbMath1032.46040OpenAlexW2476464683MaRDI QIDQ1613956

Emmanuel Fricain

Publication date: 3 September 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2002__52_2_661_0

zbMATH Keywords

completenessHardy spacesreproducing kernelsmodel spacesexponential systems

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Kernel functions in one complex variable and applications (30C40) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items

Stability of the bases and frames reproducing kernels in model spaces. ⋮ Spectral synthesis in Hilbert spaces of entire functions ⋮ Geometric Properties of Reproducing Kernels in Hilbert Spaces of Entire Functions ⋮ Geometry of reproducing kernels in model spaces near the boundary ⋮ Systems biorthogonal to exponential systems on a finite union of intervals ⋮ On certain Riesz families in vector-valued de Branges-Rovnyak spaces ⋮ Spectral theory of rank one perturbations of normal compact operators ⋮ Bases of reproducing kernels in de Branges spaces

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