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arxiv: 0812.5099 · v1 · submitted 2008-12-30 · 🧮 math.FA · math.DG

A Note on Distribution Spaces on Manifolds

classification 🧮 math.FA math.DG
keywords homomorphismsrepresentationsactingalgebraicalreadybundlecaseconcrete
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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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