Fourier Transform of Schwartz Algebras on Groups in the Harish-Chandra class

2017/06/21 by Oyadare, Olufemi O.
#22E30 #22E46 #43A85 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1706.09044

Abstract

It is well-known that the Harish-Chandra transform, f\mapstoHf, is a topological isomorphism of the spherical (Schwartz) convolution algebra C^p(G//K) (where K is a maximal compact subgroup of any arbitrarily chosen group G in the Harish-Chandra class and 0

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