Beurling’s theorem for quaternionic Heisenberg group

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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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