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Full and Special Colombeau Algebras - MaRDI portal

Full and Special Colombeau Algebras (Q5228184)

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scientific article; zbMATH DE number 7091644

Language	Label	Description	Also known as
English	Full and Special Colombeau Algebras	scientific article; zbMATH DE number 7091644

Statements

scholarly article

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Full and Special Colombeau Algebras (English)

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Proceedings of the Edinburgh Mathematical Society

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publication date

9 August 2019

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full work available at URL

https://arxiv.org/abs/1611.06061

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zbMATH Keywords

Colombeau algebra

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generalized function

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sharp topology

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point values

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locality

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sheaf property

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MaRDI profile type

MaRDI publication profile

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Natural topologies on Colombeau algebras

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A nonlinear theory of generalized functions.

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Tempered generalized functions and Hermite expansions

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Holomorphic generalized functions

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Multiplications of distributions in elasticity and hydrodynamics

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Geometrical embeddings of distributions into algebras of generalized functions

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Optimal regularization processes on complete Riemannian manifolds

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A contribution to the theory of generalized functions

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On the foundations of nonlinear generalized functions I and II

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A global theory of algebras of generalized functions

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Multiplikation von Distributionen. I

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Manifold-valued generalized functions in full Colombeau spaces

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Characterization of colombeau generalized functions by their pointvalues

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A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves

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Sur la valeur et la limite d'une distribution en un point

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On the characterization ofp -adic Colombeau–Egorov generalized functions by their point values

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Sur la méthode de généralisation de M. Laurent Schwartz et sur la convergence faible

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Point value characterizations and related results in the full Colombeau algebras \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${{\mathcal {G}}^e(\Omega )}$\end{document} and \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${{\mathcal {G}}^d(\Omega )}$\end{document}

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The functional analytic foundation of Colombeau algebras

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Nonlinear generalized sections of vector bundles

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On a nonlinear Peetre's theorem in full Colombeau algebras

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

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Distributions and nonlinear partial differential equations

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Espaces de fonctions différentiables à valeurs vectorielles

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Geodesics and geodesic deviation for impulsive gravitational waves

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Identifiers

zbMATH Open document ID

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10.1017/S001309151800010X

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5228184

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