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Integral Transforms and Special Functions Volume 17, 2006 - Issue 2-3: Generalized Functions 2004: Topics in PDE, Harmonic analysis and Mathematical Physics
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Original Articles

Group invariants in algebras of generalized functions

Sanja Konjik Faculty of Agriculture, University of Novi Sad, Novi Sad, Serbia and MontenegroCorrespondence[email protected]
&
Michael Kunzinger Faculty of Mathematics, University of Vienna, Wien, Austria
Pages 77-84 | Received 18 Feb 2005, Published online: 10 Oct 2011
 
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Abstract

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

Acknowledgements

This work was supported by MNZZS-Project 1835, and FWF-Grants P16742-NO4 and Y237-N13 of the Austrian Science Fund.

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