Symmetric operators and reproducing kernel Hilbert spaces

DOI10.1007/s11785-009-0017-1zbMath1202.47024OpenAlexW2011908290MaRDI QIDQ611123

R. T. W. Martin

Publication date: 14 December 2010

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-009-0017-1

zbMATH Keywords

reproducing kernel Hilbert spacesselfadjoint extensions of symmetric operatorsKramer sampling propertyspectra of symmetric operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) 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) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (4)

Applications of de Branges Spaces of Vector-Valued Functions ⋮ Multiplication operators with deficiency indices \((p,p)\) and sampling formulas in reproducing kernel Hilbert spaces of entire vector valued functions ⋮ Function spaces obeying a time-varying bandlimit ⋮ Aspects of prediction

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