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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.".
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- Colombeau_algebra wikiPageID "363523".
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- Colombeau_algebra hasPhotoCollection Colombeau_algebra.
- Colombeau_algebra subject Category:Algebras.
- Colombeau_algebra subject Category:Functional_analysis.
- Colombeau_algebra subject Category:Smooth_functions.
- Colombeau_algebra type Abstraction100002137.
- Colombeau_algebra type Algebra106012726.
- Colombeau_algebra type Algebras.
- Colombeau_algebra type Cognition100023271.
- Colombeau_algebra type Content105809192.
- Colombeau_algebra type Discipline105996646.
- Colombeau_algebra type Function113783816.
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- Colombeau_algebra type MathematicalRelation113783581.
- Colombeau_algebra type Mathematics106000644.
- Colombeau_algebra type PsychologicalFeature100023100.
- Colombeau_algebra type PureMathematics106003682.
- Colombeau_algebra type Relation100031921.
- Colombeau_algebra type Science105999797.
- Colombeau_algebra type SmoothFunctions.
- 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 m.01_q5n.
- Colombeau_algebra sameAs Q5147873.
- Colombeau_algebra sameAs Q5147873.
- Colombeau_algebra sameAs Colombeau_algebra.
- Colombeau_algebra wasDerivedFrom Colombeau_algebra?oldid=585747121.
- Colombeau_algebra isPrimaryTopicOf Colombeau_algebra.