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arxiv: 1603.08347 · v2 · pith:6NQU342Mnew · submitted 2016-03-28 · 🧮 math.FA

Nonlinear generalized sections and vector bundle homomorphisms in Colombeau spaces of generalized functions

classification 🧮 math.FA
keywords generalizedspacesbundlecolombeaufunctionshomomorphismsvectoralgebra
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We define and characterize spaces of manifold-valued generalized functions and generalized vector bundle homomorphisms in the setting of the full diffeomorphism-invariant vector-valued Colombeau algebra. Furthermore, we establish point value characterizations for these spaces.

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