Poisson Formula for Resonances in Even Dimensions

Details Poisson Formula for Resonances in Even Dimensions Poisson Formula for Resonances in Even Dimensions

1999-01-21

arxiv.org/abs/math/9901093v1

Asian Journal of Mathematics Volume 2, number 3, pp. 609-618

Mathematics

Geometric Topology

9 pages

Scientific paper

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.

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