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arXiv · 0801.0172

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

Lyonell Boulton·Michael Levitin·Marco Marletta
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Abstract

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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Lyonell Boulton, Michael Levitin, Marco Marletta. 2010-11-19. On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities. https://arxiv.org/abs/0801.0172

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