Group invariants in algebras of generalized functions

Details Group invariants in algebras of generalized functions Group invariants in algebras of generalized functions

2005-04-04

arxiv.org/abs/math/0504043v1

Integral Transforms Spec. Funct. 17, No.2-3, 77-84 (2006).

Mathematics

Functional Analysis

8 pages

Scientific paper

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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