An extension of deLeeuw’s theorem to the n-dimensional rotation group
Dooley, Anthony H. ; Gaudry, Garth I.
Annales de l'Institut Fourier, Tome 34 (1984), p. 111-135 / Harvested from Numdam
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On étudie un processus d’approximation des représentations du groupe M(n) par celles du groupe SO(n+1). Comme conséquence on établit une version d’un théorème de DeLeeuw pour les multiplicateurs de Fourier de L p relatif aux “restrictions” d’une fonction sur le dual de M(n) au dual de SO(n+1).

We study a method of approximating representations of the group M(n) by those of the group SO(n+1). As a consequence we establish a version of a theorem of DeLeeuw for Fourier multipliers of L p that applies to the “restrictions” of a function on the dual of M(n) to the dual of SO(n+1).

@article{AIF_1984__34_2_111_0,
     author = {Dooley, Anthony H. and Gaudry, Garth I.},
     title = {An extension of deLeeuw's theorem to the $n$-dimensional rotation group},
     journal = {Annales de l'Institut Fourier},
     volume = {34},
     year = {1984},
     pages = {111-135},
     doi = {10.5802/aif.967},
     mrnumber = {86a:43002},
     zbl = {0523.43002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/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, Tome 34 (1984) pp. 111-135. doi : 10.5802/aif.967. http://gdmltest.u-ga.fr/item/AIF_1984__34_2_111_0/

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