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arXiv · 1603.08347

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

Eduard A. Nigsch
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Abstract

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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Eduard A. Nigsch. 2018-03-16. Nonlinear generalized sections and vector bundle homomorphisms in Colombeau spaces of generalized functions. https://doi.org/10.1002/mana.201600088

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