Existence of zerofree functions \(N\)-associated to a de Branges Pontryagin space

DOI10.1007/s00605-010-0203-2zbMath1228.46023OpenAlexW2120688537MaRDI QIDQ533699

Harald Woracek

Publication date: 4 May 2011

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-010-0203-2

zbMATH Keywords

canonical systemde Branges spacePontryagin spaceassociated function

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) 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) Inverse problems involving ordinary differential equations (34A55)

Related Items

Symmetry in de Branges almost Pontryagin spaces, de Branges Spaces and Kreĭn’s Theory of Entire Operators, Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints, An inverse spectral theorem for Kreĭn strings with a negative eigenvalue, A class of \({n}\)-entire Schrödinger operators, On the spectral characterization of entire operators with deficiency indices \((1,1)\), Stability of the derivative of a canonical product, On dB spaces with nondensely defined multiplication operator and the existence of zero-free functions, Selfadjoint extensions of the multiplication operator in de Branges spaces as singular rank-one perturbations, Stability of order and type under perturbation of the spectral measure, Distributional representations of Nκ(∞)‐functions, Entries of indefinite Nevanlinna matrices

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