Fractional Clifford-Fourier Transform and its Application

被引：8
|
作者：
Shi, Haipan [1 ]
Yang, Heju [2 ]
Li, Zunfeng [2 ]
Qiao, Yuying [1 ]
机构：
[1] Hebei Normal Univ, Sch Math Sci, Shijiazhuang 050024, Hebei, Peoples R China
[2] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2020年 / 30卷 / 05期
基金：
美国国家科学基金会;
关键词：
Clifford analysis; Fractional Fourier transform (FrFT); Clifford-Fourier transform (CFT); Fractional Clifford-Fourier transform (FrCFT);
D O I：
10.1007/s00006-020-01094-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a version of the fractional Clifford-Fourier transform (FrCFT) and study its several properties and applications to partial differential equations in Clifford analysis. First, we give the definition of the FrCFT and its inverse transform in the form of integral. Then, we discuss the relationship between the FrCFT and the Clifford-Fourier transform (CFT) and give some properties of the FrCFT, including Plancherel identity, differential properties, etc. Especially we give a new form of differential formula. Finally, we give an application of these results to a partial differential equation.
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页数：17
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