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- Homogeneous_distribution abstract "Not to be confused with uniform distributionIn mathematics, a homogeneous distribution is a distribution S on Euclidean space Rn or Rn \ {0} that is homogeneous in the sense that, roughly speaking,for all t > 0.More precisely, let be the scalar multiplication operator on Rn. A distribution S on Rn or Rn \ {0} is homogeneous of degree m provided thatfor all positive real t and all test functions φ. The additional factor of t−n is needed to reproduce the usual notion of homogeneity for locally integrable functions, and comes about from the Jacobian change of variables. The number m can be real or complex.It can be a non-trivial problem to extend a given homogeneous distribution from Rn \ {0} to a distribution on Rn, although this is necessary for many of the techniques of Fourier analysis, in particular the Fourier transform, to be brought to bear. Such an extension exists in most cases, however, although it may not be unique.".
- Homogeneous_distribution wikiPageID "25161352".
- Homogeneous_distribution wikiPageRevisionID "563201377".
- Homogeneous_distribution b "+".
- Homogeneous_distribution hasPhotoCollection Homogeneous_distribution.
- Homogeneous_distribution p "α".
- Homogeneous_distribution subject Category:Fourier_analysis.
- Homogeneous_distribution subject Category:Generalized_functions.
- Homogeneous_distribution type Abstraction100002137.
- Homogeneous_distribution type Function113783816.
- Homogeneous_distribution type GeneralizedFunctions.
- Homogeneous_distribution type MathematicalRelation113783581.
- Homogeneous_distribution type Relation100031921.
- Homogeneous_distribution comment "Not to be confused with uniform distributionIn mathematics, a homogeneous distribution is a distribution S on Euclidean space Rn or Rn \ {0} that is homogeneous in the sense that, roughly speaking,for all t > 0.More precisely, let be the scalar multiplication operator on Rn. A distribution S on Rn or Rn \ {0} is homogeneous of degree m provided thatfor all positive real t and all test functions φ.".
- Homogeneous_distribution label "Homogeneous distribution".
- Homogeneous_distribution sameAs m.09gmr1t.
- Homogeneous_distribution sameAs Q5891331.
- Homogeneous_distribution sameAs Q5891331.
- Homogeneous_distribution sameAs Homogeneous_distribution.
- Homogeneous_distribution wasDerivedFrom Homogeneous_distribution?oldid=563201377.
- Homogeneous_distribution isPrimaryTopicOf Homogeneous_distribution.