Classes of de Branges Matrices and Corresponding de Branges Spaces

DOI10.1007/978-3-319-62362-7_1zbMath1394.46018OpenAlexW2758786547MaRDI QIDQ4637534

Harry Dym, Damir Z. Arov

Publication date: 24 April 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-62362-7_1

zbMATH Keywords

reproducing kernel Hilbert spacesreproducing kernelsde Branges spacesde Branges matricesentire matrix-valued inner functions

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Spaces and algebras of analytic functions of one complex variable (30H99)

Cites Work

• Multivariate prediction, de Branges spaces, and related extension and inverse problems
• Some Hilbert spaces of analytic functions. II, III
• Multiplication operators with deficiency indices \((p,p)\) and sampling formulas in reproducing kernel Hilbert spaces of entire vector valued functions
• de Branges Spaces of Vector-Valued Functions
• Applications of de Branges Spaces of Vector-Valued Functions
• Some Hilbert Spaces of Analytic Functions
• Preface
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