Laguerre expansion on the Heisenberg group and Fourier-Bessel transform on ℂn

被引：0
|
作者：
Der-Chen Chang
Peter Griener
Jingzhi Tie
机构：
[1] Georgetown University,Department of Mathematics
[2] University of Toronto,Department of Mathematics
[3] University of Georgia,Department of Mathematics
来源：
Science in China Series A: Mathematics | 2006年 / 49卷
关键词：
Heisenberg group; Fourier transform; Laguerre expansion; Bessel functions; Poisson sum; Dirichlet kernel; 33C45; 43A80; 47G10;
D O I：
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中图分类号：
学科分类号：
摘要：
Given a principal value convolution on the Heisenberg group Hn = ℂn × ℝ, we study the relation between its Laguerre expansion and the Fourier-Bessel expansion of its limit on ℂn. We also calculate the Dirichlet kernel for the Laguerre expansion on the group Hn.
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页码：1722 / 1739
页数：17
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