Group invariants in algebras of generalized functions

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We study invariance properties of Colombeau generalized functions under actions of smooth Lie transformation groups. Several characterization results analogous to the smooth setting are derived and applications to generalized rotational invariance are given.
8 pages

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Functional Analysis, 46F30;58E40;46T30; 35A30

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http://salesiana.dossiersoluciones.com/handle/123456789/98254

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504043
 http://arxiv.org/abs/math/0504043
 Integral Transforms Spec. Funct. 17, No.2-3, 77-84 (2006).

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arXiv