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Connected Lie groups and property RD

I. Chatterji, Ch. Pittet, L. Saloff-Coste

math.GRarXiv:math/0409413

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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