Connected Lie groups and property RD

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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.
29 pages

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Group Theory, Operator Algebras, 22D15, 22E30, 43A15 and 46L05

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http://salesiana.dossiersoluciones.com/handle/123456789/72580

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409413
 http://arxiv.org/abs/math/0409413

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arXiv