Regular Orbital Measures on Lie Algebras
Functional Analysis
2009-02-12 v1
Abstract
Let H be a regular element of an irreducible Lie Algebra g, and let mu be the orbital measure supported on the Adjoint orbit of H. We show that the k-th power of the Fourier transform of mu is in L^2(g) if and only if k > dim g/(dim g-rank g).
Cite
@article{arxiv.0902.1909,
title = {Regular Orbital Measures on Lie Algebras},
author = {Alex Wright},
journal= {arXiv preprint arXiv:0902.1909},
year = {2009}
}