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
Publié le : 2007-04-15
Classification:
22D15,
22E30,
43A15,
46L05
@article{1175865519,
author = {Chatterji, I. and Pittet, C. and Saloff-Coste, L.},
title = {Connected Lie groups and property RD},
journal = {Duke Math. J.},
volume = {136},
number = {1},
year = {2007},
pages = { 511-536},
language = {en},
url = {http://dml.mathdoc.fr/item/1175865519}
}
Chatterji, I.; Pittet, C.; Saloff-Coste, L. Connected Lie groups and property RD. Duke Math. J., Tome 136 (2007) no. 1, pp. 511-536. http://gdmltest.u-ga.fr/item/1175865519/