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- Colombeau_algebra abstract "In mathematics, a Colombeau algebra is an algebra of a certain kind containing the space of Schwartz distributions. While in classical distribution theory a general multiplication of distributions is not possible, Colombeau algebras provide a rigorous framework for this.Such a multiplication of distributions has long been believed to be impossible because of L. Schwartz' impossibility result, which basically states that there cannot be a differential algebra containing the space of distributions and preserving the product of continuous functions. However, if one only wants to preserve the product of smooth functions instead such a construction becomes possible as demonstrated first by Colombeau.As a mathematical tool, Colombeau algebras can be said to combine a treatment of singularities, differentiation and nonlinear operations in one framework, lifting the limitations of distribution theory. These algebras have found numerous applications in the fields of partial differential equations, geophysics, microlocal analysis and general relativity so far.".
- Colombeau_algebra wikiPageExternalLink auththeme3.py?level=1&index1=448312&skip=0.
- Colombeau_algebra wikiPageID "363523".
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- Colombeau_algebra wikiPageOutDegree "16".
- Colombeau_algebra wikiPageRevisionID "692086057".
- Colombeau_algebra wikiPageWikiLink Associative_algebra.
- Colombeau_algebra wikiPageWikiLink Category:Algebras.
- Colombeau_algebra wikiPageWikiLink Category:Functional_analysis.
- Colombeau_algebra wikiPageWikiLink Category:Smooth_functions.
- Colombeau_algebra wikiPageWikiLink Convolution.
- Colombeau_algebra wikiPageWikiLink Distribution_(mathematics).
- Colombeau_algebra wikiPageWikiLink Generalized_function.
- Colombeau_algebra wikiPageWikiLink Ideal_(ring_theory).
- Colombeau_algebra wikiPageWikiLink Mathematics.
- Colombeau_algebra wikiPageWikiLink Multi-index_notation.
- Colombeau_algebra wikiPageWikiLink Quotient_algebra.
- Colombeau_algebra wikiPageWikiLink Regularization_(mathematics).
- Colombeau_algebra wikiPageWikiLink Smoothness.
- Colombeau_algebra wikiPageWikiLink Stevan_Pilipović.
- Colombeau_algebra wikiPageWikiLink Ε-net_(computational_geometry).
- Colombeau_algebra wikiPageWikiLinkText "Colombeau algebra".
- Colombeau_algebra wikiPageWikiLinkText "Colombeau's (simplified) algebra".
- Colombeau_algebra wikiPageWikiLinkText "Colombeau's construction".
- Colombeau_algebra wikiPageWikiLinkText "Colombeau's simplified algebra".
- Colombeau_algebra wikiPageWikiLinkText "J.-F. Colombeau".
- Colombeau_algebra wikiPageUsesTemplate Template:Reflist.
- Colombeau_algebra subject Category:Algebras.
- Colombeau_algebra subject Category:Functional_analysis.
- Colombeau_algebra subject Category:Smooth_functions.
- Colombeau_algebra hypernym Algebra.
- Colombeau_algebra type Type.
- Colombeau_algebra type Algebra.
- Colombeau_algebra type Function.
- Colombeau_algebra type Type.
- Colombeau_algebra comment "In mathematics, a Colombeau algebra is an algebra of a certain kind containing the space of Schwartz distributions. While in classical distribution theory a general multiplication of distributions is not possible, Colombeau algebras provide a rigorous framework for this.Such a multiplication of distributions has long been believed to be impossible because of L.".
- Colombeau_algebra label "Colombeau algebra".
- Colombeau_algebra sameAs Q5147873.
- Colombeau_algebra sameAs m.01_q5n.
- Colombeau_algebra sameAs Q5147873.
- Colombeau_algebra wasDerivedFrom Colombeau_algebra?oldid=692086057.
- Colombeau_algebra isPrimaryTopicOf Colombeau_algebra.