不等式对于一个修正的Struve变换

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2023-11-03 DOI:10.1080/10652469.2023.2275129

Selma Negzaoui, Nesrin Yousfi

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引用次数: 0

摘要

摘要本文的目的是建立阶α的修正Struve变换的L2不等式，记为Sα。为此，我们使用Titchmarsh的方法，包括应用Mellin变换对不对称傅里叶变换进行反变换。得到了修正Struve变换Sα的反演公式和L2估计。作为应用，我们证明了Sα的海森堡测不准原理。关键词:L2不等式修正Struve变换公式ellin变换贝塞尔函数heisenberg不确定性原理数学学科分类:42A3844A2026D1033C10致谢感谢作者对提高论文可读性所做的宝贵贡献。披露声明作者未报告潜在的利益冲突。

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inequality for a modified Struve transform

AbstractIn this paper, we aim to establish an L2 inequality for a Modified Struve transform of order α, denoted as Sα. For this purpose, we use Titchmarsh's method consisting of applying Mellin transform to invert asymmetrical Fourier transforms. We obtain the inversion formula and the L2 estimation of the Modified Struve transform Sα. As an application, we prove the Heisenberg uncertainty principle for Sα.Keywords: L2 inequalityModified Struve transforminversion formulaMellin transformBessel functionsHeisenberg uncertainty principleMathematics Subject Classifications: 42A3844A2026D1033C10 AcknowledgmentsThe authors are grateful to the reviewers for their valuable contributions in improving the paper's readability.Disclosure statementNo potential conflict of interest was reported by the author(s).

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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.