Expressing Hilbert and Riesz transforms in terms of wavelet transforms

IF 0.7 3区数学 Q2 MATHEMATICS Integral Transforms and Special Functions Pub Date : 2022-09-25 DOI:10.1080/10652469.2022.2126465

S. Moritoh, Nao Takemoto

引用次数: 1

Abstract

ABSTRACT An alternative wavelet inversion formula was considered by Lebedeva and Postnikov in 2014. The main aim of the paper is to give a multidimensional version of their formula; the Hilbert and Riesz transforms of functions are expressed in terms of the wavelet transforms.

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用小波变换表示Hilbert和Riesz变换

Lebedeva和Postnikov在2014年考虑了一种替代小波反演公式。本文的主要目的是给出他们公式的多维版本；函数的Hilbert变换和Riesz变换用小波变换表示。

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

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.

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