Analytic Dirac approximation for real linear algebraic groups
Representation Theory
2010-02-25 v1
Abstract
For a real linear algebraic group G let A(G) be the algebra of analytic vectors for the left regular representation of G on the space of superexponentially decreasing functions. We present an explicit Dirac sequence in A(G). Since A(G) acts on E for every Frechet-representation (\pi,E) of moderate growth, this yields an elementary proof of a result of Nelson that the space of analytic vectors is dense in E.
Cite
@article{arxiv.1002.4462,
title = {Analytic Dirac approximation for real linear algebraic groups},
author = {Christoph Lienau},
journal= {arXiv preprint arXiv:1002.4462},
year = {2010}
}
Comments
7 pages