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On the singular set, the resolvent and Fermi's Golden Rule for finite volume hyperbolic surfaces

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Abstract

Consider a finite volume hyperbolic surface. Under perturbation the spectrum of the Laplace operator is unstable but the singular set is stable. We characterize the singular set in terms of the resolvent of the Laplace operator and extend Fermi's Golden Rule to the case of multiple eigenvalues.

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Author notes

  1. Yiannis N. Petridis

    Present address: Max-Planck-Institut für Mathematik, Gottfried-Claren-Str. 26, 53225, Bonn

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  1. Department of Mathematics, Johns Hopkins University, 21218, Baltimore, MD

    Yiannis N. Petridis

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  1. Yiannis N. Petridis
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Petridis, Y.N. On the singular set, the resolvent and Fermi's Golden Rule for finite volume hyperbolic surfaces. Manuscripta Math 82, 331–347 (1994). https://doi.org/10.1007/BF02567705

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  • DOI: https://doi.org/10.1007/BF02567705

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