A global theory of algebras of generalized functions. II. Tensor distributions

zbMath1252.46030arXiv0902.1865MaRDI QIDQ416789

Michael Grosser, Roland Steinbauer, James A. Vickers, Michael Kunzinger

Publication date: 10 May 2012

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1865

zbMATH Keywords

algebras of generalized functionscalculus in convenient vector spacesdiffeomorphism invariant Colombeau algebrasgeneralized tensor fieldsSchwartz impossibility resulttensor distributions

Mathematics Subject Classification ID

Distributions and generalized functions on nonlinear spaces (46T30) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Differentiability questions for infinite-dimensional manifolds (58B10) Calculus of functions on infinite-dimensional spaces (26E15) Bornologies and related structures; Mackey convergence, etc. (46A17)

Related Items (11)

Nonlinear generalized sections of vector bundles ⋮ On regularization of vector distributions on manifolds ⋮ The functional analytic foundation of Colombeau algebras ⋮ Nonlinear tensor distributions on Riemannian manifolds ⋮ Bornologically isomorphic representations of distributions on manifolds ⋮ Proving the principle: taking geodesic dynamics too seriously in Einstein's theory ⋮ A nonlinear theory of distributional geometry ⋮ Distributional metrics and the action principle of Einstein–Hilbert gravity ⋮ The wave equation on singular space-times ⋮ Spacetimes with distributional semi-Riemannian metrics and their curvature ⋮ Distributional geometry in general relativity

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