<p>We formulate and prove an analogue of Beurling’s theorem for the Fourier transform on the Cayley Heisenberg group. As a consequence we deduce some qualitative uncertainty principles associated with this transform.</p>

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Beurling’s Theorem for the Cayley Heisenberg Group

  • Said Fahlaoui,
  • Zakariyae Mouhcine

摘要

We formulate and prove an analogue of Beurling’s theorem for the Fourier transform on the Cayley Heisenberg group. As a consequence we deduce some qualitative uncertainty principles associated with this transform.