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arxiv: 0801.0172 · v2 · pith:GU2MIRTKnew · submitted 2007-12-30 · 🧮 math.SP · math.CA

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

classification 🧮 math.SP math.CA
keywords classperiodicarxivboundarybriancertaindavieseigenproblems
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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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