Uniqueness theorem and singular spectrum in the Friedrichs model near a singular point
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S. I. Yakovlev
Translated by: the author - St. Petersburg Math. J. 15 (2004), 149-164
- DOI: https://doi.org/10.1090/S1061-0022-03-00807-0
- Published electronically: December 31, 2003
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Abstract:
A uniqueness theorem is proved for a class of analytic functions with positive imaginary part that admit representation in a special form. This theorem imposes some restrictions on the character of decay of these functions in the vicinity of their zeros. As an application, the density of the point spectrum and the singular continuous spectrum are described for selfadjoint operators in the Friedrichs model near a singular point.References
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Bibliographic Information
- S. I. Yakovlev
- Affiliation: Departamento de Matematicas, Universidad Simon Bolivar, Apartado Postal 89000 Caracas 1080-A, Venezuela
- Email: iakovlev@mail.ru; serguei@usb.ve
- Received by editor(s): June 19, 2002
- Published electronically: December 31, 2003
- © Copyright 2003 American Mathematical Society
- Journal: St. Petersburg Math. J. 15 (2004), 149-164
- MSC (2000): Primary 47B06, 47B25
- DOI: https://doi.org/10.1090/S1061-0022-03-00807-0
- MathSciNet review: 1979723