Integral representation of the \(n\)-th derivative in de Branges-Rovnyak spaces and the norm convergence of its reproducing kernel
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Publication:954819
DOI10.5802/aif.2408zbMath1159.46016arXiv0802.0792OpenAlexW2963155005MaRDI QIDQ954819
Javad Mashreghi, Emmanuel Fricain
Publication date: 18 November 2008
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.0792
Combinatorial identities, bijective combinatorics (05A19) Invariant subspaces of linear operators (47A15) 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) Classical hypergeometric functions, ({}_2F_1) (33C05)
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Concrete examples of \(\mathcal{H}(b)\) spaces ⋮ de Branges–Rovnyak Spaces: Basics and Theory ⋮ Some open problems in complex and harmonic analysis: Report on problem session held during the conference Completeness problems, Carleson measures, and spaces of analytic functions ⋮ Nonextreme de Branges-Rovnyak spaces as models for contractions ⋮ One component bounded functions ⋮ Range Spaces of Co-analytic Toeplitz Operators
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