海森堡运动群的不确定性原理

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-11-28 DOI:10.1155/2021/3734817

Walid Amghar

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引用次数: 0

摘要

在这篇文章中，我们将回顾海森堡运动群G=上傅立叶变换的主要性质ℍ n⋊K，其中K=U n和ℍ n=ℂ n×ℝ 表示海森堡群。然后，我们将介绍一些与这种转换相关的不确定性原理，如Beurling、Hardy和Gelfand Shilov。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Uncertainty Principles for Heisenberg Motion Group

In this article, we will recall the main properties of the Fourier transform on the Heisenberg motion group

G = ℍ^{n} ⋊ K

, where

K = U (n)

and

ℍ^{n} = ℂ^{n} \times ℝ

denote the Heisenberg group. Then, we will present some uncertainty principles associated to this transform as Beurling, Hardy, and Gelfand-Shilov.

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.