Beurling's theorem for quaternionic Heisenberg group

DOI10.1007/S41478-020-00294-2zbMath1480.43004OpenAlexW3128442462MaRDI QIDQ2047358

Moussa Faress, Saïd Fahlaoui

Publication date: 19 August 2021

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-020-00294-2

zbMATH Keywords

Fourier transformBeurling's theoremspecial Hermite functionsquaternionic Heisenberg group

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (2)

Beurling's theorem in the Clifford algebras ⋮ Uncertainty Principle for Gabor Transform on the Quaternionic Heisenberg Group

Cites Work

• Unnamed Item
• Weyl transform and generalized spectrogram associated with quaternion Heisenberg group
• Beurling's theorem and \(L^p-L^q\) Morgan's theorem for step two nilpotent Lie groups
• A uniqueness theorem of Beurling for Fourier transform pairs
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• Strichartz estimates on the quaternion Heisenberg group

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