An extension of deLeeuw’s theorem to the $n$-dimensional rotation group

Dooley, Anthony H., and Gaudry, Garth I.. "An extension of deLeeuw’s theorem to the $n$-dimensional rotation group." Annales de l'institut Fourier 34.2 (1984): 111-135. <http://eudml.org/doc/74625>.

@article{Dooley1984,
abstract = {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 $SO(n+1)$.},
author = {Dooley, Anthony H., Gaudry, Garth I.},
journal = {Annales de l'institut Fourier},
keywords = {representation; theorem of deLeeuw; Fourier multipliers Lp},
language = {eng},
number = {2},
pages = {111-135},
publisher = {Association des Annales de l'Institut Fourier},
title = {An extension of deLeeuw’s theorem to the $n$-dimensional rotation group},
url = {http://eudml.org/doc/74625},
volume = {34},
year = {1984},
}

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
PB - Association des Annales de l'Institut Fourier
VL - 34
IS - 2
SP - 111
EP - 135
AB - 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 $SO(n+1)$.
LA - eng
KW - representation; theorem of deLeeuw; Fourier multipliers Lp
UR - http://eudml.org/doc/74625
ER -