Connected Lie groups and property RD

I. Chatterji; C. Pittet; L. Saloff-Coste

doi:10.1215/S0012-7094-07-13733-5

15 April 2007 Connected Lie groups and property RD

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

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Abstract

For a locally compact group, the property of rapid decay (property RD) gives a control on the convolutor norm of any compactly supported function in terms of its $L^2$ -norm and the diameter of its support. We characterize the Lie groups that have property RD

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I. Chatterji, C. Pittet, and L. Saloff-Coste "Connected Lie groups and property RD," Duke Mathematical Journal 137(3), 511-536, (15 April 2007). https://doi.org/10.1215/S0012-7094-07-13733-5

Published: 15 April 2007

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