LOWER BOUNDS ON THE NUMBER OF SCATTERING POLES .2.

Authors
SJOSTRAND J ZWORSKI M
Citation
J. Sjostrand et M. Zworski, LOWER BOUNDS ON THE NUMBER OF SCATTERING POLES .2., Journal of functional analysis, 123(2), 1994, pp. 336-367
Citations number
16
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
123
Issue
2
Year of publication
1994
Pages
336 - 367
Database
ISI
SICI code
0022-1236(1994)123:2<336:LBOTNO>2.0.ZU;2-V
Abstract
We obtain lower bounds on the number of scattering poles for a class o f abstract compactly supported perturbations of the Laplacian in R(n), n odd. They are applied to estimate the number of resonances for obst acle scattering and for hypoelliptic compactly supported perturbations of the Laplacian. The proof involves a development of Lax-Phillips th eory in a generalized setting, a Poisson formula for scattering poles, and some simple Tauberian arguments. (C) 1994 Academic Press, Inc.