Sheaves of nonlinear generalized functions and manifold-valued distributions

DOI10.1090/S0002-9947-09-04621-2zbMath1184.46070arXivmath/0609358WikidataQ59310097 ScholiaQ59310097MaRDI QIDQ3182534

James A. Vickers, Roland Steinbauer, Michael Kunzinger

Publication date: 9 October 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609358

zbMATH Keywords

Colombeau algebrasalgebras of generalized functionsgeneralized functions on manifoldsmanifold-valued distributions

Mathematics Subject Classification ID

Distributions and generalized functions on nonlinear spaces (46T30) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (7)

Optimal regularization processes on complete Riemannian manifolds ⋮ Isomorphisms of algebras of generalized functions ⋮ An algebraic approach to manifold-valued generalized functions ⋮ Rapidly converging approximations and regularity theory ⋮ Distributional metrics and the action principle of Einstein–Hilbert gravity ⋮ Suppleness of the sheaf of algebras of generalized functions on manifolds ⋮ Algebras of generalized functions with smooth parameter dependence

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