Some groups with the Rapid Decay Property

DOI: 10.5176/2251-1911_CMCGS13.08

Authors: Kankeyanathan Kannan

Abstract:

Rapid Decay Property (Property (RD)) provides estimates for the operator norm of those functions (in the left-regular representation) in terms of the Sobolevnorm. Even more, property RD is the non commutative analogue of the fact that smooth functions are continuous. We study the stability of property RD with respect to some constructions of groups. This paper provide a simple method to establish some groups having property RD.

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