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arXiv · 0710.5414

On the Hodge decomposition in R^n

Marc Troyanov
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Abstract

We prove a version of the $L^p$ hodge decomposition for differential forms in Euclidean space and a generalization to the class of Lizorkin currents. We also compute the $L_{qp}-$cohomology of $\mathbb{R}^n$.

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Marc Troyanov. 2010-04-30. On the Hodge decomposition in R^n. https://arxiv.org/abs/0710.5414

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