Krein's strings with singular left boundary

Reports on Mathematical Physics

Volumn 59, Issue 3, 2007, Pages 305-316

  Kotani, S ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

Krein's string; spectral theory; Sturm Liouville operator

Indexed keywords

EID: 36649009720     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(07)80067-X     Document Type: Article

References (9)

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2. de Branges L. Hilbert Spaces of Entire Functions (1968), Prentice-Hall Inc., Englewood Cliffs, N.J.
3. Krein M.G. Sur le problème du prolongement des fonctions Hermitiennes positives et continus. Dokl. Akad. Nauk SSSR 26 (1940) 17
4. Kotani S. On a generalized Sturm-Liouville operator with a singular boundary. J. Math. Kyoto Univ. 15 (1975) 423
5. Kotani S. A remark to the ordering theorem of L. de Branges. J. Math. Kyoto Univ. 16 (1976) 665
6. Krein M.G. On some cases of effective determination of the density of an inhomogeneous cord from its spectral function. Dokl. Akad. Nauk SSSR 93 (1953) 617 (in Russian)
7. Yano K. Excursion measure away from an exit boundary of one-dimensional diffusion processes. Publ. RIMS 42 (2006) to appear
8. Kasahara Y. Spectral theory of generalized second order differential operators and its application to Markov processes. Japan. J. Math. 1 (1975) 67
9. Y. Kasahara and S. Watanabe: Brownian representation of a class of Lévy processes and its application to occupation times of diffusion processes, Illinois J. Math., to appear.