On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities

Details On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities

2007-12-30

arxiv.org/abs/0801.0172v2

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].

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