Schwartz functions on Nash manifolds
Algebraic Geometry
2008-01-20 v3 Representation Theory
Abstract
In this paper we extend the notions of Schwartz functions, tempered functions and generalized Schwartz functions to Nash (i.e. smooth semi-algebraic) manifolds. We reprove for this case classically known properties of Schwartz functions on and build some additional tools which are important in representation theory.
Keywords
Cite
@article{arxiv.0704.2891,
title = {Schwartz functions on Nash manifolds},
author = {Avraham Aizenbud and Dmitry Gourevitch},
journal= {arXiv preprint arXiv:0704.2891},
year = {2008}
}