Remarks on Krein-Kotani's correspondence between strings and Herglotz functions

DOI10.3792/pjaa.85.22zbMath1177.47053OpenAlexW1997592343MaRDI QIDQ1030573

Shinzo Watanabe, Yuji Kasahara

Publication date: 2 July 2009

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

Full work available at URL: https://doi.org/10.3792/pjaa.85.22

zbMATH Keywords

Sturm-Liouville operatorspectral measureLévy processHerglotz functionKrein's correspondence

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Local time and additive functionals (60J55)

Related Items (3)

Krein's strings whose spectral functions are of polynomial growth ⋮ Asymptotic behavior of spectral measures of Krein's and Kotani's strings ⋮ Fluctuation scaling limits for positive recurrent jumping-in diffusions with small jumps

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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