An inverse spectral theorem for Kreĭn strings with a negative eigenvalue

DOI10.1007/S00605-011-0351-ZzbMath1262.34019OpenAlexW2125806685MaRDI QIDQ438989

Harald Woracek

Publication date: 31 July 2012

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

Full work available at URL: https://doi.org/10.1007/s00605-011-0351-z

zbMATH Keywords

spectral measurestringdirect and inverse spectral theorem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Inverse problems involving ordinary differential equations (34A55)

Related Items (3)

Symmetry in de Branges almost Pontryagin spaces ⋮ Linear fractional transformations of Nevanlinna functions associated with a nonnegative operator ⋮ Entries of indefinite Nevanlinna matrices

Cites Work

• Existence of zerofree functions \(N\)-associated to a de Branges Pontryagin space
• On semibounded canonical systems
• Pontryagin spaces of entire functions. I
• Pontryagin spaces of entire functions. II
• Schrödinger operators and de Branges spaces.
• Spectral theory of a string
• The inverse spectral problem for canonical systems
• Strings, dual strings, and related canonical systems
• Subspaces of de Branges spaces with prescribed growth
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