周期单连通区域的标准化

周期单连通区域的标准化 ON STANDARDIZATION FOR PERIODIC SIMPLY CONNECTED REGIONS 路见可 Lu Jianke 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematics, Wuhan University Department of Mathematics, Wuhan University 本文指出，经单叶并形映照，周期单连通区域可在保持周期性的条件下，标准化为全平面、半平面或直线边带形域．如还要求保持区域内或边上某些特殊点的性态，则有某些具周期半无限直裂纹的标准区域． It is noted that a periodic simply connected region, if not the entire plane,may be standardized either to a half-plane or to a straight strip under the condifion of reservation of the periodicity by a univalent conformal mapping. Besides,if some behaviour of certain special points of the region is required to be invariant,then certain standard regionswith periodic straight half-ray cracks are obtained. 单叶共形映照 周期单连通区域 周期元 模数 univalent conformal mapping periodic simply connected region periodic element modulus O174.51 国家教委博士点基金 1994-04-01 2021-04-01 4