周期多连通区域的标准化

周期多连通区域的标准化 STANDARDIZATION OF PERIODIC MULTI-CONNECTED REGIONS 路见可 Lu Jianke 1 2 first-author 武汉大学数学系,武汉 武汉大学数学系,武汉 Department of Mathematics, Wuhan University Department of Mathematics, Wuhan University ,430072 ,430072 证明了一个多连通的周期区域,经单叶共形映照,可标准化为全平面、半平面或直边带形的Ⅰ型或Ⅱ型周期区域,即除外边界外,区域内部分另有一些与周期方向垂直或平行的裂纹。 It is established that a periodic multi-connected region may be transformed, by univalent conformal mapping, to one of the following three standard periodic regions of type Ⅰ or type Ⅱ , i. e. , the entire plane, the half-plane or a rectilinear strip, with certain rectilinear cracks in the interior of a periodic cell, perpendicular to or parallel to the direction of the period. 连通型 单叶共形映照 Ⅰ型和Ⅱ型周期区域 准模数 connected type univalent conformal mappiing periodic regions of type Ⅰ or type Ⅱ quasi-modulus O174.51 国家教委博士点基金 1996-01-01 2021-04-01 1