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Lower Bounds on the Number of Scattering Poles, II

✍ Scribed by J. Sjostrand; M. Zworski

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
948 KB
Volume
123
Category
Article
ISSN
0022-1236

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✦ Synopsis

We obtain lower bounds on the number of scattering poles for a class of abstract compactly supported perturbations of the Laplacian in (\mathbb{R}^{n}, n) odd. They are applied to estimate the number of resonances for obstacle scattering and for hypoelliptic compactly supported perturbations of the Laplacian. The proof involves a development of Lax-Phillips theory in a generalized setting, a Poisson formula for scattering poles, and some simple Tauberian arguments. 1994 Academic Press, Inc.

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