Geodesic
Orbital Convolution Theory for Semi-Direct Products
Journal of Lie theory, Tome 16 (2006) no. 4, pp. 743-776.

Voir la notice de l'article provenant de la source Heldermann Verlag

We extend previous results of the authors on orbital convolutions for compact groups, to compact times vector semidirect products. In particular, we define convolutions of noncompact coadjoint orbits and recover the character formulae and Plancherel formula of Lipsman.
Classification : 43A80, 22E15
Mots-clés : Lie group, semi-direct product, character formula, coadjoint orbit 
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     title = {Orbital {Convolution} {Theory} for {Semi-Direct} {Products}},
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A. H. Dooley; N. J. Wildberger . Orbital Convolution Theory for Semi-Direct Products. Journal of Lie theory, Tome 16 (2006) no. 4, pp. 743-776. http://geodesic.mathdoc.fr/item/JLT_2006_16_4_JLT_2006_16_4_a5/