Two classes of vector valued de Branges spaces

DOI10.1016/j.jfa.2022.109758OpenAlexW4308463814MaRDI QIDQ2104834

Harry Dym

Publication date: 8 December 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2022.109758

zbMATH Keywords

reproducing kernel Hilbert spacesde Branges matricesJ-inner matrix valued functionsvector valued de Branges spaces

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Polynomials and rational functions of one complex variable (30C10) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (1)

Norms of basic operators in vector valued model spaces and de Branges spaces

Cites Work

• Models for noncontractions
• Multivariate prediction, de Branges spaces, and related extension and inverse problems
• On a new class of structured reproducing kernel spaces
• On a new class of realization formulas and their application
• 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
• Some Hilbert Spaces of Analytic Functions
• Theory of Reproducing Kernels
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