Inverse problems in spectral geometry

Published 29 Aug 2011 in math.SP, math-ph, math.AP, and math.MP | (1108.5755v2)

Abstract: 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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