Mathematics – Algebraic Geometry
Scientific paper
2007-04-22
International Mathematics Research Notices, Vol. 2008, 2008: rnm155-37
Mathematics
Algebraic Geometry
35 pages, LaTex. v3:minor changes + reference to results of duCloux
Scientific paper
10.1093/imrn/rnm155
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 $R^n$ and build some additional tools which are important in
representation theory.
Aizenbud Avraham
Gourevitch Dmitry
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