(n+1)重周期和准周期Riemann边值问题

(n+1)-folds Periodic and Quasi-periodic Riemann Boundary Value Problems

该文首先考虑了R^(n+1)维欧氏空间中(n+1)重周期正则函数和(n+1)重准周期正则函数的一些性质,然后分别讨论了n+1重周期和准周期Riemann边值问题,分别给出了两种边值问题解的显式表达式和可解条件.

First some properties of （n ＋ 1）-folds periodic and quasi-periodic regular functions in R^n＋1 are considered in this paper, then Riemann boundary value problems for （n ＋ 1）- folds periodic functions and （n ＋ 1）-folds quasi-periodic functions are discussed respectively, the explicit representations of solutions and solvabilities are obtained for both cases.