Besov型空间上的Kontorovich-Lebedev小波变换

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2023-02-20 DOI:10.1080/10652469.2023.2177846

Ashish Pathak, Shrish Pandey

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引用次数: 0

摘要

在本文中，我们定义了与Kontorovich–Lebedev变换相关的Besov型空间。我们扩展了空间上连续Kontorovich–Lebedev小波变换的概念，导出了空间上Kontorovich-Lebedev小波变换的连续性，最后利用Kontorovi奇-Lebedef小波系数刻画了Besov空间。

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Kontorovich–Lebedev wavelet transform on Besov type spaces

In the present paper, we define Besov type spaces associated with the Kontorovich–Lebedev transform. We widen the concept of continuous Kontorovich–Lebedev wavelet transform on space and derive continuity of Kontorovich–Lebedev wavelet transform on Besov type spaces and lastly characterize the Besov Kontorovich–Lebedev space by using Kontorovich–Lebedev wavelet coefficients.

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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.