Clifford-Fourier transform on hyperbolic space

被引：0

作者：

Lian, Pan ^{[1
,2
]}

Bao, Gejun ^{[1
]}

De Bie, Hendrik ^{[2
]}

Constales, Denis ^{[2
]}

机构：

[1] Harbin Inst Technol, Dept Math, West Da Zhi St 92, Harbin 150001, Peoples R China

[2] Univ Ghent, Dept Math Anal, Fac Engn & Architecture, Galglaan 2, B-9000 Ghent, Belgium

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 10期

关键词：

Helgason-Fourier transform; hyperbolic space; fractional calculus; generating function;

D O I：

10.1002/mma.4253

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new generalization of the Helgason-Fourier transform using the angular Dirac operator on both the hyperboloid and unit ball models. The explicit integral kernels of even dimension are derived. Furthermore, we establish the formal generating function of the even dimensional kernels. In the computations, fractional integration plays a key unifying role. Copyright (c) 2016 John Wiley & Sons, Ltd.

引用

页码：3666 / 3675

页数：10

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