Dini–Lipschitz functions for the quaternion linear canonical transform

被引：0
作者：
A. Bouhlal
A. Achak
R. Daher
N. Safouane
机构：
[1] Labo Math Appli,Ecole Supérieure d’Education et Formation
[2] Faculty of Sciences,Department of Mathematics Faculty of Sciences Aïn Chock
[3] University Chouaib Doukkali,undefined
[4] University of Hassan II,undefined
来源：
Rendiconti del Circolo Matematico di Palermo Series 2 | 2021年 / 70卷
关键词：
Quaternion linear canonical transform; Lipschitz class; Dini–Lipschitz class; Titchmarsh theorem; -functional; 43A62; 42B10; 42B37;
D O I：
暂无
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学科分类号：
摘要：
This paper is an exposition of some results on calculation of the K-functional which have number of applications of interpolation theory. In particular some recent problems in image processing and singular integral operators require the computation of suitable K-functionals. In this paper we will give some results concerning the equivalence of a K-functional and the modulus of smoothness constructed by the generalized Steklov function. We mention here that we have generalized the Steklov’s function for Fourier transform to quaternion linear canonical transform. This paper generalizes also Titchmarsh’s theorem for measurable sets from complex domain to hyper complex domain by using quaternion algebras, associated with the quaternion linear canonical transform.
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页码：199 / 215
页数：16
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