De Rham theorem for Schwartz functions on Nash manifolds

In [2] the authors proved the de Rham theorem for Schwartz functions on affine Nash manifolds. Here we simplify the proof and generalize their result to the case of non-affine Nash manifolds.

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Bibliographic Details
Published in:Israel journal of mathematics 2013-10, Vol.197 (1), p.131-137
Main Author: Prelli, Luca
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
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Description
Summary:In [2] the authors proved the de Rham theorem for Schwartz functions on affine Nash manifolds. Here we simplify the proof and generalize their result to the case of non-affine Nash manifolds.
ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-012-0179-9