General double-sided orthogonal split quadratic phase Clifford-Fourier transform

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2024-10-30 DOI:10.1016/j.jmaa.2024.129009

H. Monaim , M. Faress

引用次数: 0

Abstract

This paper provides the general double-sided orthogonal

2^{n - 1}

-dimensional spaces split quadratic phase Clifford-Fourier transform and the general Short-time quadratic phase Clifford-Fourier transform. It proves the Rènyi and Shannon entropy and Lieb's uncertainty principles.

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一般双面正交分裂二次相位克利福德-傅里叶变换

本文提供了一般双面正交 2n-1 维空间分裂二次相克里福-傅里叶变换和一般短时二次相克里福-傅里叶变换。它证明了雷尼熵和香农熵以及利布不确定性原理。

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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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.