A reproducing kernel space model for 𝐍_{𝜅}-functions

DOI10.1090/S0002-9939-03-06946-6zbMath1055.47019OpenAlexW1871896440MaRDI QIDQ4425417

Hassi, Seppo, Vladimir A. Derkach

Publication date: 10 September 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-06946-6

zbMATH Keywords

Weyl functionsymmetric operatorreproducing kernel Pontryagin spacegeneralized Nevanlinna functionboundary tripletselfadjoint extension

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators on spaces with an indefinite metric (47B50) Quasi-analytic and other classes of functions of one complex variable (30D60)

Related Items (8)

The factorization of generalized Nevanlinna functions and the invariant subspace property ⋮ Generalized Nevanlinna Functions: Operator Representations, Asymptotic Behavior ⋮ Minimal realizations of generalized Nevanlinna functions ⋮ Products of generalized Nevanlinna functions with symmetric rational functions ⋮ On realization of the Kreĭn-Langer class N_κ of matrix-valued functions in Pontryagin spaces ⋮ Truncated moment problems in the class of generalized Nevanlinna functions ⋮ On some extensions of the A-model ⋮ Spectral problems for generalized Jacobi matrices

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