The Clifford-Fourier transform

被引：85

作者：

Brackx, F ^{[1
]}

De Schepper, N ^{[1
]}

Sommen, F ^{[1
]}

机构：

[1] Univ Ghent, Dept Math Anal, Fac Engn, Clifford Res Grp, B-9000 Ghent, Belgium

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2005年 / 11卷 / 06期

关键词：

multi-dimensional Fourier transform; Clifford analysis;

D O I：

10.1007/s00041-005-4079-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A pair of Clifford Fourier transforms is defined in the framework of Clifford analysis. As operator exponentials with a Clifford algebra-valued kernel. It is a genuine Clifford analysis construct, which is shown to be a refinement of the classical multi-dimensional Fourier transform. An adequate operational calculus is developed.

引用

页码：669 / 681

页数：13

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