Spectral properties of unbounded Jacobi matrices with almost monotonic weights
Spectral Theory
2016-06-27 v1 Probability
Abstract
We present an unified framework to identify spectra of Jacobi matrices. We give applications to long-standing conjecture of Chihara concerning one-quarter class of orthogonal polynomials, to the conjecture posed by Roehner and Valent concerning continuous spectra of generators of birth and death processes and to spectral properties of operators studied by Janas, Moszy\'nski and Pedersen.
Keywords
Cite
@article{arxiv.1501.03420,
title = {Spectral properties of unbounded Jacobi matrices with almost monotonic weights},
author = {Grzegorz Świderski},
journal= {arXiv preprint arXiv:1501.03420},
year = {2016}
}
Comments
15 pages