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Connected Lie groups and property RD

I. Chatterji·Ch. Pittet·L. Saloff-Coste
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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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I. Chatterji, Ch. Pittet, L. Saloff-Coste. 2004-09-21. Connected Lie groups and property RD. https://arxiv.org/abs/math/0409413

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