Joint eigenfunctions of invariant differential operators on the quaternion Heisenberg group  

作　　者：LIU HePing ZHU XiaoJie 

机构地区：[1]LMAM,School of Mathematical Sciences,Peking University

出　　处：《Science China Mathematics》2013年第2期435-441,共7页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.10871003 and 10990012)

摘　　要：Let L be the sublaplacian on the quaternion Heisenberg group N and T the Dirac type operator with respect to central variables of N. In this article, we characterize the He-valued joint eigenfunctions of L and T having eigenvalues from the quaternionic Heisenberg fan.Let L be the sublaplacian on the quaternion Heisenberg group N and T the Dirac type operator with respect to central variables of N.In this article,we characterize the H c-valued joint eigenfunctions of L and T having eigenvalues from the quaternionic Heisenberg fan.

关 键 词：Dirac type operator Heisenberg group joint eigenfunction QUATERNION SUBLAPLACIAN 

分 类 号：O175.3[理学—数学] O413.1[理学—基础数学]