Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic case

Serguei Naboko; Sergey Simonov

doi:10.1017/S001309150700106X

Abstract

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We consider a class of Jacobi matrices with periodically modulated diagonal in a critical hyperbolic (‘double root’) situation. For the model with ‘non-smooth’ matrix entries we obtain the asymptotics of generalized eigenvectors and analyse the spectrum. In addition, we reformulate a very helpful theorem from a paper by Janas and Moszynski in its full generality in order to serve the needs of our method.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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Article contents

Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic case

Abstract

Keywords

MSC classification

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic case

Abstract

Keywords

MSC classification

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