Thangavelu, S (2022) Beurling’s theorem on the Heisenberg group. In: Arkiv for Matematik, 60 (2). pp. 417-442.
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Official URL: https://doi.org/10.4310/ARKIV.2022.v60.n2.a10
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.
| Item Type: | Journal Article |
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| Publication: | Arkiv for Matematik |
| Publisher: | International Press, Inc. |
| Additional Information: | The copyright for this article belongs to the Author(S). |
| Keywords: | Beurling’s theorem; Fourier transform; Gutzmer’s formula; Heisenberg group; Hermite and Laguerre functions |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 10 Nov 2022 06:17 |
| Last Modified: | 10 Nov 2022 06:17 |
| URI: | https://eprints.iisc.ac.in/id/eprint/77835 |
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