Generalized Integral Representations for Functions with Values in C(V_(3,3))  

作　　者：Klaus GURLEBECK Zhongxiang ZHANG 

机构地区：[1]Institut f. Mathematik/Physik, Bauhaus-UniversitAt Weimar, Coudraystr. 13, D-99423 Weimar, Germany [2]Corresponding author. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

出　　处：《Chinese Annals of Mathematics,Series B》2011年第1期123-138,共16页数学年刊（B辑英文版）

基　　金：Project supported by Deutscher Akademischer Austausch Dienst (German Academic Exchange Service);the National Natural Science Foundation of China (No.10471107)

摘　　要：By using the solution to the Helmholtz equation u-λu = 0(λ≥ 0),the explicit forms of the so-called kernel functions and the higher order kernel functions are given.Then by the generalized Stokes formula,the integral representation formulas related with the Helmholtz operator for functions with values in C(V3,3) are obtained.As application of the integral representations,the maximum modulus theorem for function u which satisfies Hu = 0 is given.

关 键 词：Universal Clifford algebra Helmholtz equation Generalized CauchyPompeiu formula 

分 类 号：O174.56[理学—数学] O241.82[理学—基础数学]