Mate-Nevai-Totik theorem for Krein systems
Spectral Theory
2020-12-01 v1
Abstract
We prove the Ces\`aro boundedness of eigenfunctions of the Dirac operator on the half-line with a square-summable potential. The proof is based on the theory of Krein systems and, in particular, on the continuous version of a theorem by A. Mate, P. Nevai and V. Totik from 1991.
Cite
@article{arxiv.2011.14374,
title = {Mate-Nevai-Totik theorem for Krein systems},
author = {Pavel Gubkin},
journal= {arXiv preprint arXiv:2011.14374},
year = {2020}
}
Comments
18 pages