Spectral function of Krein's and Kotani's string in the class \(\Gamma\)

DOI10.3792/pjaa.88.173zbMath1284.47031OpenAlexW1977603300MaRDI QIDQ1949174

Yuji Kasahara

Publication date: 25 April 2013

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1354802416

zbMATH Keywords

diffusionspectral measureKrein's correspondencegeneralized Sturm-Liouville operatorde Haan theory

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Diffusion processes (60J60)

Related Items (2)

The inverse spectral problem for indefinite strings ⋮ Spectral asymptotics for canonical systems

Cites Work

• Krein's strings with singular left boundary
• Brownian representation of a class of Lévy processes and its application to occupation times of diffusion processes
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