The functional analytic foundation of Colombeau algebras

DOI10.1016/j.jmaa.2014.07.014zbMath1314.46055arXiv1305.1460OpenAlexW2963557334MaRDI QIDQ401370

Eduard Albert Nigsch

Publication date: 26 August 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1460

zbMATH Keywords

Colombeau algebrasmoothing operatorsmoothing kernelbasic spacenonlinear generalized functionsheaf property

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items

Nonlinear generalized sections of vector bundles ⋮ On regularization of vector distributions on manifolds ⋮ Colombeau algebras without asymptotics ⋮ Nonlinear generalized functions on manifolds ⋮ Spacetimes with distributional semi-Riemannian metrics and their curvature ⋮ Full and Special Colombeau Algebras ⋮ On a nonlinear Peetre's theorem in full Colombeau algebras

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