Fractional Clifford–Fourier Transform and its Application

被引：0
|
作者：
Haipan Shi
Heju Yang
Zunfeng Li
Yuying Qiao
机构：
[1] Hebei Normal University,School of Mathematical Sciences
[2] Hebei University of Science and Technology,College of Science
来源：
Advances in Applied Clifford Algebras | 2020年 / 30卷
关键词：
Clifford analysis; Fractional Fourier transform (FrFT); Clifford–Fourier transform (CFT); Fractional Clifford–Fourier transform (FrCFT); 30E20; 30E25; 45E05;
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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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