旋量值函数的Plemelj公式  

Plemelj Formulae for Spinor-Valued Functions

作　　者：贺福利[1] 库敏 杜金元[3] 

机构地区：[1]中南大学数学与统计学院,长沙410083 [2]CIDMA,Department of Mathematics,University of Aveiro [3]武汉大学数学与统计学院,武汉430072

出　　处：《数学年刊（A辑）》2015年第4期429-438,共10页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11301547;No.11371375);葡萄牙科技基金(No.OE/MAT/U14106/2014)的资助

摘　　要：对比于多复变中的Bochner-Martinelli型积分的Plernelj公式,定义了艾米尔特Clifford分析中旋量值函数的Cauchy型积分及Cauchy主值积分,得到了旋量值函数的Plemelj公式,最后给出一些特殊情形的Bochner-Martinelli型积分的Plemelj公式.In coInparison with the Plemelj formulae for the Bochner-Martinelli-type integral in the function theory of several complex variables, the authors define the Cauchy-type integral and the Cauchy principal value for the spinor-valued functions in Hermite Clifford analysis, and obtain the Plemelj formulae for the spinor-valued functions. Finally, the authors figure out some Plemelj formulae for tile Bochner-Martinelli-type integrals in the special cases.

关 键 词：PLEMELJ公式 旋量值函数 Bochner-Martinelli型积分 

分 类 号：O174.5[理学—数学]