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

Abstract

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 analyze the spectrum. In addition, we reformulate a very helpful theorem from a paper of Janas and Moszynski in its full generality in order to serve the needs of our method.

References in corpus (1)

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

Cited by in corpus (7)

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• Weyl-Titchmarsh type formula for periodic Schroedinger operator with Wigner-von Neumann potential
• Orthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case
• Measures for orthogonal polynomials with unbounded recurrence coefficients