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

Parui, Sanjay and Thangavelu, Sundaram (2009) On theorems of Beurling and Hardy for certain step two nilpotent groups. In: Integral Transforms And Special Functions, 20 (2). 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.

Item Type:	Journal Article
Publication:	Integral Transforms And Special Functions
Publisher:	Taylor and Francis Group
Additional Information:	Copyright of this article belongs to Taylor and Francis Group.
Keywords:	Fourier transform;Weyl transform;Hilbert-Schmidt operators;nilpotent Lie groups;heat kernel;Hermite and special Hermite functions.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	05 Nov 2009 07:27
Last Modified:	24 Jan 2011 07:55
URI:	http://eprints.iisc.ac.in/id/eprint/18830

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