Beurling’s theorem on the Heisenberg group

Sundaram Thangavelu

doi:10.4310/ARKIV.2022.v60.n2.a10

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Home > Journals > Ark. Mat. > Volume 60 > Issue 2 > Article

October 2022 Beurling’s theorem on the Heisenberg group

Sundaram Thangavelu

Author Affiliations +

Sundaram Thangavelu¹
¹Department of Mathematics, Indian Institute of Science, Bangalore, India

Ark. Mat. 60(2): 417-442 (October 2022). DOI: 10.4310/ARKIV.2022.v60.n2.a10

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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.

Funding Statement

This work was supported by a J. C. Bose Fellowship from the Department of Science and Technology, Government of India.

Citation

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Sundaram Thangavelu. "Beurling’s theorem on the Heisenberg group." Ark. Mat. 60 (2) 417 - 442, October 2022. https://doi.org/10.4310/ARKIV.2022.v60.n2.a10