Quaternion H-type group and differential operator Δλ

被引:0
作者
Der-Chen Chang
Irina Markina
机构
[1] Georgetown University,Department of Mathematics
[2] University of Bergen,Department of Mathematics
来源
Science in China Series A: Mathematics | 2008年 / 51卷
关键词
quaternion; Siegel upper half space; -holomorphic function; subelliptic operator; 35H20; 42B30;
D O I
暂无
中图分类号
学科分类号
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-Szegö kernel and the orthogonal projection operator is obtained. The fundamental solution for the operator Δλ is found.
引用
收藏
页码:523 / 540
页数:17
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