En regroupant des résultats de C. S. Herz sur l’algèbre de Fourier et la notion de contraction des groupes de Lie on peut développer une méthode de transfert qui donne des théorèmes de passage pour les multiplicateurs de , soit de l’algèbre de Lie, soit du groupe de déplacements de Cartan associé à un groupe de Lie compact, sur le groupe lui-même.
By combining some results of C. S. Herz on the Fourier algebra with the notion of contractions of Lie groups, we prove theorems which allow transference of multipliers either from the Lie algebra or from the Cartan motion group associated to a compact Lie group to the group itself.
@article{AIF_1986__36_4_107_0,
author = {Dooley, Anthony H.},
title = {Transferring $L^p$ multipliers},
journal = {Annales de l'Institut Fourier},
pages = {107--136},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {36},
number = {4},
year = {1986},
doi = {10.5802/aif.1070},
mrnumber = {88f:43007},
zbl = {0589.43003},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.1070/}
}
Dooley, Anthony H. Transferring $L^p$ multipliers. Annales de l'Institut Fourier, Tome 36 (1986) no. 4, pp. 107-136. doi : 10.5802/aif.1070. http://www.numdam.org/articles/10.5802/aif.1070/
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