4.4 Article

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

Journal

MATHEMATISCHE NACHRICHTEN
Volume 290, Issue 13, Pages 1991-2008

Publisher

WILEY-V C H VERLAG GMBH
DOI: 10.1002/mana.201600088

Keywords

Colombeau algebras; generalized sections; generalized vector bundle homomorphisms; point values

Categories

Funding

  1. Austrian Science Fund (FWF) [P23714, P26859]
  2. Austrian Science Fund (FWF) [P 23714] Funding Source: researchfish
  3. Austrian Science Fund (FWF) [P23714, P26859] Funding Source: Austrian Science Fund (FWF)

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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. (C) 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

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