# Connected Lie groups and property RD

Abstract : For a locally compact group, property RD gives a control on the convolution norm of any compactly supported measure in terms of the $L^2$-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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https://hal.archives-ouvertes.fr/hal-00471126
Contributor : Indira Chatterji <>
Submitted on : Wednesday, April 7, 2010 - 2:27:17 PM
Last modification on : Thursday, July 4, 2019 - 11:38:01 AM

### Citation

Indira Chatterji, Christophe Pittet, Laurent Saloff-Coste. Connected Lie groups and property RD. Duke Mathematical Journal, Duke University Press, 2007, 137 (3), pp.511-536. ⟨10.1215/S0012-7094-07-13733-5⟩. ⟨hal-00471126⟩

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