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September 2005 On theorems of Beurling and Hardy for the Euclidean Motion group
Rudra P. Sarkar, Sundaram Thangavelu
Tohoku Math. J. (2) 57(3): 335-351 (September 2005). DOI: 10.2748/tmj/1128703001

Abstract

We establish an analogue of Beurling's uncertainty principle for the group Fourier transform on the Euclidean motion group. We also prove the most general version of Hardy's theorem on it which characterises functions on the motion group that are controlled by the heat kernel associated to the Laplacian of the Euclidean space.

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Rudra P. Sarkar. Sundaram Thangavelu. "On theorems of Beurling and Hardy for the Euclidean Motion group." Tohoku Math. J. (2) 57 (3) 335 - 351, September 2005. https://doi.org/10.2748/tmj/1128703001

Information

Published: September 2005
First available in Project Euclid: 7 October 2005

zbMATH: 1085.22004
MathSciNet: MR2154098
Digital Object Identifier: 10.2748/tmj/1128703001

Subjects:
Primary: 43A80
Secondary: 22E

Rights: Copyright © 2005 Tohoku University

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Vol.57 • No. 3 • September 2005
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