Schwartz functions on Nash manifolds

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Schwartz functions on Nash manifolds
A. Aizenbud D. Gourevitch
arXiv0704.2891 math.AG
Baby problem Let an abstract group G act on a set
X with finite number of orbits. Show that
dim(F(X)G)lt8.
Baby theorem F)XUY(F(X) ? F(Y).
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• Example XS1, Nn, UX\N (R).

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Schwartz distributions have the following
advantages over general distributions
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