Description of the structure of singular spectrum for Friedrichs model operator near singular point

Serguei I. Iakovlev

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-16

Abstract:

The study of the point spectrum and the singular continuous one is reduced to investigating the structure of the real roots set of an analytic function with positive imaginary part M ( λ ) . We prove a uniqueness theorem for such a class of analytic functions. Combining this theorem with a lemma on smoothness of M ( λ ) near its real roots permits us to describe the density of the singular spectrum.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:410163

DOI: 10.1155/S0161171201011668

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