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University of New Mexico
Jost Functions for Jacobi Operators with Super-exponentially Decaying Parameters
Abstract
dc:description.abstractThe decay of the parameters for a Jacobi operator is related to the analyticity of the Jost function associated with J, which is in turn related to the spectral measure of J. Damanik and Simon demonstrated the equivalence between the exponential decay of these parameters and the analyticity of the Jost function on a disk whose radius is given by the rate of decay. In this paper, these equivalences are summarized, and an additional equivalence is shown in the case when the parameters decay super-exponentially. In this case, the Jost function will be an entire function with finite growth order no greater than twice the inverse of the decay rate.
Degree
thesis:*- Name thesis:degree_name
- Mathematics
- Level thesis:degree_level
- Masters
- Discipline thesis:degree_discipline
- Mathematics & Statistics
- Year
- 2016
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Kaul, Fred, II
- Contributors dc:contributor
-
- Zinchenko, Maxim
- Maxim Zinchenko
- Anna Skripka
- Maria Cristina Pereyra
Subjects
dc:subject × 4Rights
- Language dc:language
- English
Identifiers
dc:identifier.*- OAI identifier oai:identifier
- oai:digitalrepository.unm.edu:math_etds-1022