On theorems of Beurling and Hardy for certain step two nilpotent groups

Author: Parui Sanjay  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.20, Iss.2, 2009-02, pp. : 127-145

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Abstract

In this paper we prove Hardy's theorem and a version of Cowling-Price theorem for all step two nilpotent Lie groups using Beurling's theorem on Euclidean space. Also a version of Beurling's theorem is proved for all step two nilpotent Lie groups.