Schwartz Functions on Nash Manifolds

The goal of 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 the classically known properties of Schwartz functions on and build some additional tools that are impor...

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Bibliographic Details
Published in:International mathematics research notices 2008, Vol.2008
Main Authors: Aizenbud, Avraham, Gourevitch, Dmitry
Format: Article
Language:English
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Summary:The goal of 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 the classically known properties of Schwartz functions on and build some additional tools that are important in representation theory.
ISSN:1073-7928
1687-0247
DOI:10.1093/imrn/rnm155