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Group invariants in algebras of generalized functions

Sanja Konjik·Michael Kunzinger
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Abstract

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.

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Sanja Konjik, Michael Kunzinger. 2005-04-04. Group invariants in algebras of generalized functions. https://arxiv.org/abs/math/0504043

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