Citation
Zy. Mao et S. Rallis, Howe duality and the trace formula, PAC J MATH, 191(2), 1999, pp. 329-346
Citations number
12
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730
→ ACNP
Volume
191
Issue
2
Year of publication
1999
Pages
329 - 346
Database
ISI
SICI code
0030-8730(199912)191:2<329:HDATTF>2.0.ZU;2-U
Abstract
We state two families of trace formulas for the Howe duality. We prove the
matching of orbital integrals for the trace formulas. The fundamental lemma
(matching of orbital integrals for spherical functions) turns out to be th
e consequence of local Howe duality. We use the local Howe duality to prove
the fundamental lemmas for another interesting family of trace formulas.