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Beurling's theorem on the Heisenberg group

Classical Analysis and ODEs 2021-07-12 v1 Functional Analysis

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.

Keywords

Cite

@article{arxiv.2107.04199,
  title  = {Beurling's theorem on the Heisenberg group},
  author = {Sundaram Thangavelu},
  journal= {arXiv preprint arXiv:2107.04199},
  year   = {2021}
}

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19 pages