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
收藏
页码：669 / 681
页数：13
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