Beurling's theorem on the Heisenberg group

2021/07/09 by Sundaram Thangavelu, Thangavelu, Sundaram · 3 citations
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Analysis and Transform Methods #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2107.04199

Abstract

We formulate and prove an analogue of Beurling's theorem for the Fourier transform on the Heisenberg group. As a consequence we deduce Hardy and Cowling-Price theorems.

Cited by

• Uncertainty Principles for the Strichartz Fourier transform on the Heisenberg Group
• A theorem concerning Fourier transforms: A survey
• Some Versions of Beurling's Theorem on H-type Groups

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