Krein's strings whose spectral functions are of polynomial growth

DOI10.1215/21562261-2366094zbMath1312.47006arXiv1304.6786OpenAlexW3105064116MaRDI QIDQ394147

Shin'ichi Kotani

Publication date: 24 January 2014

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6786

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Diffusion processes (60J60) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Local time and additive functionals (60J55)

Related Items (1)

Diffusions with Bessel-like drifts

Cites Work

• Unnamed Item
• Excursion measure away from an exit boundary of one-dimensional diffusion processes
• Krein's strings with singular left boundary
• Remarks on Krein-Kotani's correspondence between strings and Herglotz functions
• On a generalized Sturm-Liouville operator with a singular boundary
• A remark to the ordering theorem of L. de Branges
• Asymptotic behavior of spectral measures of Krein's and Kotani's strings
• Brownian representation of a class of Lévy processes and its application to occupation times of diffusion processes

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