The wave group on asymptotically hyperbolic manifolds

Authors
Joshi, MS Barreto, AS
Citation
Ms. Joshi et As. Barreto, The wave group on asymptotically hyperbolic manifolds, J FUNCT ANA, 184(2), 2001, pp. 291-312
Citations number
28
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
184
Issue
2
Year of publication
2001
Pages
291 - 312
Database
ISI
SICI code
0022-1236(20010820)184:2<291:TWGOAH>2.0.ZU;2-8
Abstract
We show that the wave group on asymptotically hyperbolic manifolds belongs to an appropriate class of Fourier integral operators. Then we use now stan dard techniques to analyze its (regularized) trace. We prove that, as in th e case of compact manifolds without boundary, the singularities of the regu larized wave trace are contained in the set of periods of closed geodesics. We also obtain an asymptotic expansion for the trace at zero. (C) 2001 Aca demic Press.