Laguerre expansion on the Heisenberg group and Fourier-Bessel transform on C^n Dedicated to Professor Sheng GONG on the occasion of his 75th birthday

作     者：CHANG Der-Chen GRIENER Peter 

作者机构：Department of Mathematics Georgetown UniversityWashington DC 20057USA Department of Mathematics University of TorontoTorontoON M5S 3G3Canada 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2006年第49卷第11期

页      面：1722-1739页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：U.S. Department of Defense,DOD Georgetown University Natural Sciences and Engineering Research Council of Canada,NSERC 

主　　题：Heisenberg group, Fourier transform, Laguerre expansion, Bessel functions,Poisson sum, Dirichlet kernel. 

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.