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A Note on Distribution Spaces on Manifolds

2008/12/30 by Michael Grosser, Grosser, Michael
Mathematics · #46H40 (Secondary) #46T30 (Primary) 46F05 #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical and Theoretical Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0812.5099

openalex publication_date 2008/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

26 different concrete representations of the space of vector valued distributions on a smooth manifold of dimension n are presented systematically, most of them new. In the particular case of representations as module homomorphisms acting on sections of the dual bundle resp. on n-forms, the continuity of these homomorphisms is already a consequence of their algebraic properties.

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