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Uncertainty Principles for Heisenberg Motion Group

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  • Walid Amghar
  • Roberto Paoletti

Abstract

In this article, we will recall the main properties of the Fourier transform on the Heisenberg motion group G=℠n⋊K, where K=Un and ℠n=ℂn×℠denote the Heisenberg group. Then, we will present some uncertainty principles associated to this transform as Beurling, Hardy, and Gelfand-Shilov.

Suggested Citation

  • Walid Amghar & Roberto Paoletti, 2021. "Uncertainty Principles for Heisenberg Motion Group," Abstract and Applied Analysis, Hindawi, vol. 2021, pages 1-7, November.
    • Handle: RePEc:hin:jnlaaa:3734817
    DOI: 10.1155/2021/3734817
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