Spectrum is periodic for n-Intervals

Details Spectrum is periodic for n-Intervals Spectrum is periodic for n-Intervals

2010-02-24

arxiv.org/abs/1002.4525v2

Mathematics

Classical Analysis and ODEs

19 pages

Scientific paper

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.

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