Uncertainty Principles for Heisenberg Motion Group

Walid Amghar

Abstract and Applied Analysis, 2021, vol. 2021, issue 1

Abstract: In this article, we will recall the main properties of the Fourier transform on the Heisenberg motion group G = ℍn⋊K, where K = U(n) and ℍn = ℂn × ℝ denote the Heisenberg group. Then, we will present some uncertainty principles associated to this transform as Beurling, Hardy, and Gelfand‐Shilov.

Date: 2021
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https://doi.org/10.1155/2021/3734817

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2021:y:2021:i:1:n:3734817

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