The wave trace for Riemann surfaces

Authors
Guillope, L Zworski, M
Citation
L. Guillope et M. Zworski, The wave trace for Riemann surfaces, GEO FUNCT A, 9(6), 1999, pp. 1156-1168
Citations number
15
Categorie Soggetti
Mathematics
Journal title
GEOMETRIC AND FUNCTIONAL ANALYSIS
ISSN journal
1016443X → ACNP
Volume
9
Issue
6
Year of publication
1999
Pages
1156 - 1168
Database
ISI
SICI code
1016-443X(1999)9:6<1156:TWTFRS>2.0.ZU;2-K
Abstract
We present a wave group version of the Selberg trace formula for an arbitra ry surface of finite geometry. As an application we give a new lower bound on the number of resonances for hyperbolic surfaces. Motivated by recent re sults we formulate a conjecture on a lower bound for the counting function of resonances in a strip.