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arXiv · 0704.2891

Schwartz functions on Nash manifolds

Avraham Aizenbud·Dmitry Gourevitch
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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 $R^n$ and build some additional tools which are important in representation theory.

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Avraham Aizenbud, Dmitry Gourevitch. 2007-12-05. Schwartz functions on Nash manifolds. https://doi.org/10.1093/imrn%2Frnm155

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