Homogeneous distribution

id: homogeneous-distribution-259-3251603
title: Homogeneous distribution
text: In 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 μ t : x ↦ x / t be the scalar division operator on Rn. A distribution S on Rn or Rn \ {0} is homogeneous of degree m provided that for 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 ab
brand slug: wiki
category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Homogeneous_distribution
date created:
date modified: 2024-02-16T15:37:52Z
main entity: {"identifier":"Q5891331","url":"https://www.wikidata.org/entity/Q5891331"}
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fields total: 13
integrity: 13

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