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arxiv: 1108.5755 · v2 · pith:QTCGAC4Cnew · submitted 2011-08-29 · 🧮 math.SP · math-ph· math.AP· math.MP

Inverse problems in spectral geometry

classification 🧮 math.SP math-phmath.APmath.MP
keywords inverselaplaciansdomainsmanifoldsoperatorsproblemsspectralbounded
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In this survey we review positive inverse spectral and inverse resonant results for the following kinds of problems: Laplacians on bounded domains, Laplace-Beltrami operators on compact manifolds, Schr\"odinger operators, Laplacians on exterior domains, and Laplacians on manifolds which are hyperbolic near infinity.

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