Spectrum is periodic for n-Intervals
Classical Analysis and ODEs
2010-04-13 v2
Abstract
In this paper we study spectral sets which are unions of finitely many intervals in R. We show that any spectrum associated with such a spectral set is periodic, with the period an integral multiple of the measure of the set. As a consequence we get a structure theorem for such spectral sets and observe that the generic case is that of the equal interval case.
Keywords
Cite
@article{arxiv.1002.4525,
title = {Spectrum is periodic for n-Intervals},
author = {Debashish Bose and Shobha Madan},
journal= {arXiv preprint arXiv:1002.4525},
year = {2010}
}
Comments
19 pages