Beurling’s theorem for quaternionic Heisenberg group

The Journal of Analysis (2021)Cite this article

Abstract

In this paper, we recall some properties of the Fourier transform on the quaternionic Heisenberg group, then we prove some qualitative uncertainty principles associated with this transform.

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Affiliations

  1. Department of Mathematics, Faculty of Sciences, Moulay Ismail University, BP 11201, Zitoune, Meknès, Morocco

    Moussa Faress & Said Fahlaoui

Authors
  1. Moussa Faress
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  2. Said Fahlaoui
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Correspondence to Moussa Faress.

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Communicated by Samy Ponnusamy.

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Faress, M., Fahlaoui, S. Beurling’s theorem for quaternionic Heisenberg group. J Anal (2021). https://doi.org/10.1007/s41478-020-00294-2

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Keywords

  • Quaternionic Heisenberg group
  • Fourier transform
  • Beurling’s theorem
  • Special Hermite functions

Mathematics Subject Classification

  • 43-XX
  • 44-XX
  • 46-XX
  • 33-XX