Alp Arslan Kirac
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
20070, Denizli, Turkey
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