Jacobi matrices with lacunary spectrum
Complex Variables
2024-06-26 v1 Spectral Theory
Abstract
We find asymptotics of entries of Jacobi matrices with lacunary spectral data under some additional growth conditions. We also prove the inverse results. In addition, we study connections between Jacobi matrices, canonical systems and de Branges spaces for lacunary spectral data
Keywords
Cite
@article{arxiv.2009.07579,
title = {Jacobi matrices with lacunary spectrum},
author = {Ilya Losev},
journal= {arXiv preprint arXiv:2009.07579},
year = {2024}
}