Distributions propres invariantes sur la paire sym\' etrique (gl(4,R),gl(2,R)*gl(2,R))

Details Distributions propres invariantes sur la paire sym\' etrique (gl(4,R),gl(2,R)*gl(2,R)) Distributions propres invariantes sur la paire sym\' etrique (gl(4,R),gl(2,R)*gl(2,R))

2011-02-04

arxiv.org/abs/1102.0963v1

J. Funct. Anal. 261 (2011) 2362-2436

Mathematics

Representation Theory

79 pages, Submitted for publication

Scientific paper

We study orbital integrals and invariant eigendistributions for the symmetric pair (g,h)=(gl(4,R),gl(2,R)*gl(2,R)). Let q=g/h and let N be the set of nilpotents of q. We first obtain an asymptotic behavior of orbital integrals around nonzero semisimple elements of q. We study eigendistributions around such elements and give an explicit basis of eigendistributions on q-N given by a locally integrable function on q-N.

Affiliated with

Also associated with

No associations

Rating

Distributions propres invariantes sur la paire sym\' etrique (gl(4,R),gl(2,R)*gl(2,R)) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Distributions propres invariantes sur la paire sym\' etrique (gl(4,R),gl(2,R)*gl(2,R)), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Distributions propres invariantes sur la paire sym\' etrique (gl(4,R),gl(2,R)*gl(2,R)) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-492027