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<p>In this paper, we recall some properties of the Fourier transform within the framework of the Cayley Heisenberg group, then we prove some novel qualitative uncertainty principles associated with this transform. Our findings provide new insights compared to previous studies, highlighting the unique implications of this non-commutative structure and enhances the understanding of Fourier analysis in this context.</p>

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Uncertainty principles for Fourier transform on the Cayley Heisenberg group

  • 期刊论文

  • 发表日期：

    2025年7月3日

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  • H. Monaim,
  • M. Faress

摘要

In this paper, we recall some properties of the Fourier transform within the framework of the Cayley Heisenberg group, then we prove some novel qualitative uncertainty principles associated with this transform. Our findings provide new insights compared to previous studies, highlighting the unique implications of this non-commutative structure and enhances the understanding of Fourier analysis in this context.