A General Geometric Fourier Transform Convolution Theorem

被引：0
|
作者：
Roxana Bujack
Gerik Scheuermann
Eckhard Hitzer
机构：
[1] Universität Leipzig,Institut für Informatik
[2] University of Fukui,Department of Applied Physics
来源：
Advances in Applied Clifford Algebras | 2013年 / 23卷
关键词：
Fourier transform; geometric algebra; Clifford algebra; convolution; coorthogonal; geometric trigonometric transform;
D O I：
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中图分类号：
学科分类号：
摘要：
The large variety of Fourier transforms in geometric algebras inspired the straight forward definition of “A General Geometric Fourier Transform” in Bujack et al., Proc. of ICCA9, covering most versions in the literature. We showed which constraints are additionally necessary to obtain certain features like linearity, a scaling, or a shift theorem. In this paper we extend the former results by a convolution theorem.
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页码：15 / 38
页数：23
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