Positivity of oscillatory integrals and Hankel transforms

被引：0

作者：

Cho, Yong-Kum ^{[1
]}

Chung, Seok-Young ^{[2
]}

Park, Young Woong ^{[3
]}

机构：

[1] Chung Ang Univ, Coll Nat Sci, Dept Math, 84 Heukseok Ro, Seoul 06974, South Korea

[2] Univ Cent Florida, Dept Math, Orlando, FL USA

[3] Chung Ang Univ, Dept Math, Seoul, South Korea

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2024年 / 35卷 / 01期

关键词：

Bessel functions; Fourier transforms; Hankel transforms; oscillatory; positivity; Sturm's oscillation theory;

D O I：

10.1080/10652469.2023.2272212

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In consideration of the integral transform whose kernel arises as an oscillatory solution of certain second-order linear differential equation, its positivity is investigated on the basis of Sturm's theory. As applications, positivity criteria are obtained for Hankel transforms as well as trigonometric integrals defined on the positive real line.

引用

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页码：61 / 76

页数：16

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