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.