Two-Sided Fourier Transform in Clifford Analysis and Its Application

被引：1

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 Fourier transform; Differential property; k-th power of F{h}; Plancherel identity; Time-frequency shift; Uncertainty principle; UNCERTAINTY PRINCIPLES; ASYMPTOTIC-BEHAVIOR; FIELDS;

D O I：

10.1007/s00006-020-01083-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first define a two-sided Clifford Fourier transform(CFT) and its inverse transformation on L-1 space. Then we study the differential of the two-sided CFT, the k-th power of F{h}, Plancherel identity and time-frequency shift of the two-sided CFT. Finally we discuss the uncertainty principle of the two-sided CFT and give an application of the two-sided CFT to a partial differential equation.

引用

页数：23

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