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<p>We introduce the Gabor transform on the Cayley Heisenberg group and study some of its properties. Then, we establish a number of uncertainty principles associated with this transformation. Also, an analogue of Beurling’s theorem for the Gabor transform is discussed.</p>

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Uncertainty principle for gabor transform on the Cayley Heisenberg group

  • 期刊论文

  • 发表日期：

    2026年2月3日

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  • Said Fahlaoui,
  • Zakariyae Mouhcine

摘要

We introduce the Gabor transform on the Cayley Heisenberg group and study some of its properties. Then, we establish a number of uncertainty principles associated with this transformation. Also, an analogue of Beurling’s theorem for the Gabor transform is discussed.