Pontryagin spaces of entire functions. II

DOI10.1007/BF01230736zbMath0928.46012OpenAlexW4244564154MaRDI QIDQ1288983

Harald Woracek, Michael Kaltenbäck

Publication date: 9 January 2000

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01230736

zbMATH Keywords

isometric embeddingsPontryagin spacespaces of entire functionsextensions of symmetric operatorsinverse spectral theorem for Nevanlinna functionsWeyl coefficients of matrix chains

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) 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) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators on spaces with an indefinite metric (47B50) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Related Items

Symmetry in de Branges almost Pontryagin spaces ⋮ Generalized Nevanlinna Functions: Operator Representations, Asymptotic Behavior ⋮ Indefinite Hamiltonians ⋮ Two-Dimensional Hamiltonian Systems ⋮ de Branges Spaces and Kreĭn’s Theory of Entire Operators ⋮ The exponential type of the fundamental solution of an indefinite Hamiltonian system ⋮ Rigged de Branges-Pontryagin spaces and their application to extensions and embedding ⋮ Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints ⋮ Commuting operators over Pontryagin spaces with applications to system theory ⋮ An inverse spectral theorem for Kreĭn strings with a negative eigenvalue ⋮ Existence of zerofree functions \(N\)-associated to a de Branges Pontryagin space ⋮ Distributional representations of Nκ(∞)‐functions ⋮ Entries of indefinite Nevanlinna matrices

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