تقرير
Positivity of oscillatory integrals and Hankel transforms
| العنوان: | Positivity of oscillatory integrals and Hankel transforms |
|---|---|
| المؤلفون: | Cho, Yong-Kum, Chung, Seok-Young, Park, Young Woong |
| المصدر: | Integral transforms and special functions, 2023 |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, 34C10, 42A38, 44A20, 33C10 |
| الوصف: | 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. Comment: 19 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.04381 |
| رقم الأكسشن: | edsarx.2311.04381 |
| قاعدة البيانات: | arXiv |
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