Results 61 to 70 of about 602 (89)
Remarks on the embedding of spaces of distributions into spaces of Colombeau generalized functions
, 2004 We present some remarks about the embedding of spaces of Schwartz distributions into spaces of Colombeau generalized functions. We show that the various constructions of such embeddings existing in the literature lead in fact to the same one.Comment: 13 ...
Delcroix, A.
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Colombeau solutions to Einstein field equations.Gravitational singularities [PDF]
In contemporary mathematics, a Colombeau algebra of Colombeau generalized functions is an algebra of a certain kind containing the space of Schwartz distributions.
Foukzon, Jaykov
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ON BALANCED PRODUCTS OF DISTRIBUTIONS IN COLOMBEAU ALGEBRA [PDF]
International Journal of Apllied Mathematics, 2016 Results on singular products of Schwartz distributions on the Eu- clidean space R m are derived when the products are so 'balanced' that they exist in the distribution space. The results follow the idea of a known distribu- tional product introduced by Jan Mikusinski and are obtained in the Colombeau algebra of generalized functions.
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Diffeomorphism invariant Colombeau Algebras. Part I: Local theory
, 2001 Latex, 11 pages, Contribution to Proceedings of the International Conference on Generalized Functions (ICGF 2000, Guadeloupe); typos ...
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Nonlinear generalized functions on manifolds. [PDF]
Proc Math Phys Eng Sci, 2020 Nigsch EA, Vickers JA.
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A nonlinear theory of distributional geometry. [PDF]
Proc Math Phys Eng Sci, 2020 Nigsch EA, Vickers JA.
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Some extensions to the functional analytic approach to Colombeau algebras
Novi Sad Journal of Mathematics, 2015 11 ...
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Colombeau products of distributions. [PDF]
Springerplus, 2016 Miteva M +2 more
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The Motion of Point Particles in Curved Spacetime. [PDF]
Living Rev Relativ, 2011 Poisson E, Pound A, Vega I.
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Diffeomorphism invariant Colombeau algebras. Part II: Classification
, 2001 This contribution presents a comprehensive analysis of Colombeau (-type) algebras in the range between the diffeomorphism invariant algebra introduced in Part I and Colombeau's original algebra. Along the way, it provides several classification results which are indispensable for obtaining an intrinsic description of a (full) Colombeau algebra on a ...
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