On theorems of Beurling and Hardy for the Euclidean motion groups

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概要

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• 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.

• 東北大学の論文

著者

• Thangavelu Sundaram

  Statistics And Mathematics Unit (smu) Indian Statistical Institute

• Sarkar Rudra

  Statistics And Mathematics Unit (smu) Indian Statistical Institute

関連論文

• On Strichartz's uncertainty inequality for the Heisenberg group
• On theorems of Beurling and Hardy for the Euclidean motion groups

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