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.
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页码：523 / 540
页数：17
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