Multiplication operators with deficiency indices \((p,p)\) and sampling formulas in reproducing kernel Hilbert spaces of entire vector valued functions

DOI10.1016/j.jfa.2017.09.007zbMath1385.46016OpenAlexW2755026354MaRDI QIDQ2410353

Santanu Sarkar, Harry Dym

Publication date: 17 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2017.09.007

zbMATH Keywords

sampling formulasentire operatorsvector valued de Branges spacessymmetric operators with deficiency indices \((p, p)\)

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Sampling theory in information and communication theory (94A20) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (9)

On Parseval Frames of Kernel Functions in de Branges Spaces of Entire Vector Valued Functions ⋮ Reproducing kernels: harmonic analysis and some of their applications ⋮ Rigged de Branges-Pontryagin spaces and their application to extensions and embedding ⋮ Vector valued de Branges spaces of entire functions based on pairs of Fredholm operator valued functions and functional model ⋮ Functional models of operators and their multivalued extensions in Hilbert space ⋮ Functional models for entire symmetric operators in rigged de Branges Pontryagin spaces ⋮ Classes of de Branges Matrices and Corresponding de Branges Spaces ⋮ Two classes of vector valued de Branges spaces ⋮ Norms of basic operators in vector valued model spaces and de Branges spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conservative realizations of Herglotz-Nevanlinna functions
• Symmetric operators and reproducing kernel Hilbert spaces
• Unitary discrete Hilbert transforms
• Representation of simple symmetric operators with deficiency indices (1, 1) in de Branges space
• Hilbert spaces of analytic functions, inverse scattering and operator models. II
• On the spectral characterization of entire operators with deficiency indices \((1,1)\)
• Some Hilbert spaces of analytic functions. II, III
• An introduction to de Branges spaces of entire functions with applications to differential equations of the Sturm-Liouville type
• Some Mean Squares of Entire Functions
• Some Hilbert Spaces of Entire Functions
• Some Hilbert spaces of entire functions
• Sampling Theory and Reproducing Kernel Hilbert Spaces
• Hilbert Spaces of Entire Functions: Early History
• Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces
• A Generalized Sampling Theorem
• Fundamental aspects of the representation theory of Hermitian operators with deficiency index (𝑚,𝑚)
• Some Hilbert Spaces of Analytic Functions
• Applications of Krein's theory of regular symmetric operators to sampling theory
• Preface

This page was built for publication: Multiplication operators with deficiency indices \((p,p)\) and sampling formulas in reproducing kernel Hilbert spaces of entire vector valued functions