Quaternion H-type group and differential operator Δλ

被引：17
|
作者：
Chang Der-Chen [1 ]
Markina, Irina [2 ]
机构：
[1] Georgetown Univ, Dept Math, Washington, DC 20057 USA
[2] Univ Bergen, Dept Math, N-5008 Bergen, Norway
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2008年 / 51卷 / 04期
关键词：
quaternion; Siegel half space; q-holomorphic function; subelliptic operator;
D O I：
10.1007/s11425-007-0133-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the relations between the quaternion H-type group and the boundary of the unit ball on the two-dimensional quaternionic space. The orthogonal projection of the space of square integrable functions defined on quaternion H-type group into its subspace of boundary values of q-holomorphic functions is considered. The precise form of Cauchy-Szego kernel and the orthogonal projection operator is obtained. The fundamental solution for the operator Delta(lambda) is found.
引用
收藏
页码：523 / 540
页数：18
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