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Poisson Formula for Resonances in Even Dimensions

Geometric Topology 2007-05-23 v1

Abstract

We consider scattering by an abstract compactly supported perturbation in R^n. To include the traditional cases of potential, obstacle and metric scattering without going into their particular nature we adopt the "black box" formalism developed jointly with Sjostrand [23]. It is quite likely that one could extend the results presented here to the case of non-compactly supported perturbation as well - see [21] for a natural generalization of "black box" perturbations.

Keywords

Cite

@article{arxiv.math/9901093,
  title  = {Poisson Formula for Resonances in Even Dimensions},
  author = {Maciej Zworski},
  journal= {arXiv preprint arXiv:math/9901093},
  year   = {2007}
}

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9 pages