Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network

  Advanced Search  

Previous Up Next Article From References: 0

Summary: Previous Up Next Article
From References: 0
From Reviews: 1
MR2391809 (2009i:22025) 22E50 (20G25 22E35)
Murnaghan, Fiona (3-TRNT)
Spherical characters: the supercuspidal case. (English summary)
Group representations, ergodic theory, and mathematical physics: a tribute to George W.Mackey,
301313, Contemp.Math., 449, Amer.Math.Soc., Providence, RI, 2008.
Let G be a connected reductive p-adic group. Let be an involution of G and let H be a reductive
p-adic group that is a subgroup of the fixed group G
containing the identity component of G
Then G/H is a reductive p-adic symmetric space. Many results in harmonic analysis on G have
some kind of analogues in harmonic analysis on G/H.
An irreducible admissible representation of G is said to be distinguished (with respect to H)
if it admits a nontrivial H-invariant linear form. From now on, consider representations such
that both and it dual are distinguished. Let HomH(, 1) and HomH(, 1). For f
c (G), define (f) = (, (f)). Then is an H-biinvariant distribution and this is called


Source: Anandavardhanan, U. K. - Department of Mathematics, Indian Institute of Technology Bombay


Collections: Mathematics