English

Connected Lie groups and property RD

Group Theory 2007-05-23 v1 Operator Algebras

Abstract

For a locally compact group, property RD gives a control on the convolution norm of any compactly supported measure in terms of the L2L^2-norm of its density and the diameter of its support. We give a complete classification of those Lie groups with property RD.

Keywords

Cite

@article{arxiv.math/0409413,
  title  = {Connected Lie groups and property RD},
  author = {I. Chatterji and Ch. Pittet and L. Saloff-Coste},
  journal= {arXiv preprint arXiv:math/0409413},
  year   = {2007}
}

Comments

29 pages