Natural Boundaries and Spectral Theory
Complex Variables
2010-08-10 v2 Spectral Theory
Abstract
We present and exploit an analogy between lack of absolutely continuous spectrum for Schroedinger operators and natural boundaries for power series. Among our new results are generalizations of Hecke's example and natural boundary examples for random power series where independence is not assumed.
Cite
@article{arxiv.1002.0823,
title = {Natural Boundaries and Spectral Theory},
author = {Jonathan Breuer and Barry Simon},
journal= {arXiv preprint arXiv:1002.0823},
year = {2010}
}