Article ID Journal Published Year Pages File Type
4591497 Journal of Functional Analysis 2011 75 Pages PDF
Abstract

We study orbital integrals and invariant eigendistributions for the symmetric pair . 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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory