Alp Arslan Kirac
Abstract:
Let
be the length of the
-th
instability interval of the Hill
operator
.
We prove that if
and the set
is a subset of the periodic
spectrum of the Hill operator, then
a.e., where
is a sufficiently
large positive integer such that
for all
with some
.
A similar result holds for the anti-periodic case.
Submitted April 29, 2015. Published January 27, 2016.
Math Subject Classifications: 34A55, 34B30, 34L05, 47E05, 34B09.
Key Words: Hill operator; inverse spectral theory; eigenvalue asymptotics;
Fourier coefficients.
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Alp Arslan Kiraç Department of Mathematics Faculty of Arts and Sciences Pamukkale University 20070, Denizli, Turkey email: aakirac@pau.edu.tr |
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