Quaternion H-type group and differential operatorΔ_λ

作     者：CHANG Der-Chen Irina MARKINA 

作者机构：Department of MathematicsGeorgetown University Department of MathematicsUniversity of Bergen 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2008年第51卷第4期

页      面：523-540页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The first author is partially supported by a Competitive Research Grant at Georgetown University(Grant No.GD2236120) The second author is partially supported by grants of the Norwegian Council(Grant Nos.177355/V30,180275/D15) by the grant of the European Science Foundation Networking Programme HCAA 

主　　题：quaternion Siegel half space q-holomorphic function subelliptic operator 

摘      要：We study the relations between the quaternion H-type group and the boundary of the unit ball on the two-dimensional quaternionic *** 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 *** precise form of Cauchy-Szeg(?)kernel and the orthogonal projection operator is *** fundamental solution for the operatorΔ_λis found.