Mathematics – Spectral Theory
Scientific paper
2007-12-30
Journal of Differential Equations, Volume 249, Issue 12, 15 December 2010, Pages 3081-3098
Mathematics
Spectral Theory
20 pages, this final version includes correction of several typos and change of title
Scientific paper
We prove that the spectrum of a certain PT-symmetric periodic problem is
purely real. Our results extend to a larger class of potentials those recently
found by Brian Davies [math.SP/0702122] and John Weir [arXiv:0711.1371].
Boulton Lyonell
Levitin Michael
Marletta Marco
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