Quaternion Fourier Transform and Generalized Lipschitz Classes

被引：7

作者：

Loualid, El Mehdi ^{[1
]}

Elgargati, Abdelghani ^{[2
]}

Daher, Radouan ^{[2
]}

机构：

[1] Univ Chouaib Doukkali, Natl Sch Appl Sci El Jadida, Lab Engn Sci Energy, El Jadida, Morocco

[2] Univ Hassan 2, Fac Sci Ain Chock, Dept Math & Informat, Lab Topol Algebra Geometry & Discrete Math, BP 5366, Casablanca, Morocco

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2021年 / 31卷 / 01期

关键词：

Quaternion Fourier transform; Generalized Lipschitz class; Generalized Zygmund class;

D O I：

10.1007/s00006-020-01098-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For functions f is an element of L-1 (R-2, H) with the quaternion Fourier transform (QFT) (f) over cap we give necessary and sufficient conditions in terms of (f) over cap to ensure that f belongs either to one of the generalized Lipschitz classes H-alpha 1,(m)(alpha 2) and h m(alpha 1,alpha 2)(m) for 0 < alpha(1), alpha(2) < m.

引用

页数：15

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