We study a method of approximating representations of the group by those of the group . As a consequence we establish a version of a theorem of DeLeeuw for Fourier multipliers of that applies to the “restrictions” of a function on the dual of to the dual of .
On étudie un processus d’approximation des représentations du groupe par celles du groupe . Comme conséquence on établit une version d’un théorème de DeLeeuw pour les multiplicateurs de Fourier de relatif aux “restrictions” d’une fonction sur le dual de au dual de .
@article{AIF_1984__34_2_111_0, author = {Dooley, Anthony H. and Gaudry, Garth I.}, title = {An extension of {deLeeuw{\textquoteright}s} theorem to the $n$-dimensional rotation group}, journal = {Annales de l'Institut Fourier}, pages = {111--135}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {34}, number = {2}, year = {1984}, doi = {10.5802/aif.967}, mrnumber = {86a:43002}, zbl = {0523.43002}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.967/} }
TY - JOUR AU - Dooley, Anthony H. AU - Gaudry, Garth I. TI - An extension of deLeeuw’s theorem to the $n$-dimensional rotation group JO - Annales de l'Institut Fourier PY - 1984 SP - 111 EP - 135 VL - 34 IS - 2 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.967/ DO - 10.5802/aif.967 LA - en ID - AIF_1984__34_2_111_0 ER -
%0 Journal Article %A Dooley, Anthony H. %A Gaudry, Garth I. %T An extension of deLeeuw’s theorem to the $n$-dimensional rotation group %J Annales de l'Institut Fourier %D 1984 %P 111-135 %V 34 %N 2 %I Institut Fourier %C Grenoble %U http://archive.numdam.org/articles/10.5802/aif.967/ %R 10.5802/aif.967 %G en %F AIF_1984__34_2_111_0
Dooley, Anthony H.; Gaudry, Garth I. An extension of deLeeuw’s theorem to the $n$-dimensional rotation group. Annales de l'Institut Fourier, Volume 34 (1984) no. 2, pp. 111-135. doi : 10.5802/aif.967. http://archive.numdam.org/articles/10.5802/aif.967/
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