Spectral theory of a string

DOI10.1007/BF01062233zbMath0831.34082MaRDI QIDQ1899480

Israel S. Kac

Publication date: 2 November 1995

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

surveyKrejn's spectral theory of a string

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (6)

The inverse spectral problem for indefinite strings ⋮ Recovery of a parabolic equation generated by a Krein string ⋮ Trace of order \((-1)\) for a string with singular weight ⋮ Continued fraction expansions of Herglotz–Nevanlinna functions and generalized indefinite strings of Stieltjes type ⋮ An inverse spectral theorem for Kreĭn strings with a negative eigenvalue ⋮ Quantum graphs on radially symmetric antitrees

Cites Work

• On mappings preserving the distance 1 only in a finite number of directions
• On the Green functions of 1-dimensional diffusion processes
• Some asymptotic properties of the transition densities of one-dimensional quasidiffusions
• Über verallgemeinerte gewöhnliche Differentialoperatoren mit nicht- lokalen Randbedingungen und die von ihnen erzeugten Markov-Prozesse
• On a generalized Sturm-Liouville operator with a singular boundary
• Limit theorems of occupation times for Markov processes
• On the asymptotic behaviors of transition probability densities of one- dimensional diffusion processes
• Description of contraction operators which are similar to unitary operators
• Spectral distribution of a differential operator
• On second order differential operators
• Generalized Resolvents and Spectral Functions of a Matrix Generalization of the KREIN-FELLER Second Order Derivative
• On time inversion of one-dimensional diffusion processes
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