Quaternion H-type group and differential operator △λ

• 来源期刊: 中国科学A辑(英文版)
• 年，卷（期）: 2008,（4）
• 页码范围: 523-540
• 页数: 18页
• 语种: 英文
• DOI: 10.1007/s11425-007-0133-1

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 △λ is found.