右侧多变量连续四元数小波变换的一些不确定性原理

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2024-04-08 DOI:10.1007/s00006-024-01319-w

Manel Hleili

引用次数: 0

摘要

对于右侧多元连续四元数小波变换（CQWT），我们分析了该变换在有限度量集合上的集中性。我们还为四元数小波变换建立了类似的海森堡不等式。最后，我们将有限度量集合的局部不确定性原理扩展到 CQWT。

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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Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform

For the right-sided multivariate continuous quaternion wavelet transform (CQWT), we analyse the concentration of this transform on sets of finite measure. We also establish an analogue of Heisenberg’s inequality for the quaternion wavelet transform. Finally, we extend local uncertainty principle for a set of finite measure to CQWT.

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.