Connected Lie groups and property RD

2004/09/21 by I. Chatterji, Chatterji, I., Ch. Pittet +3
Mathematics · #22D15 #22E30 #43A15 and 46L05 #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #math.GR #math.OA #msc:22D15 #msc:22E30 #msc:43A15 #msc:46L05

paper · pdf · doi:10.48550/arxiv.math/0409413

29 pages

arxiv created 2004/09/21 · arxiv updated 2009/12/01

Abstract

For a locally compact group, property RD gives a control on the convolution norm of any compactly supported measure in terms of the L²-norm of its density and the diameter of its support. We give a complete classification of those Lie groups with property RD.

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