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学术讲座【Solution to the delbar problem using Cauchy-Fantappie formalism on strictly psuedoconvex domains in C^n】

时间:2018-07-06浏览:13设置

时间:2018年7月6日(星期五)14:30

地点:旗山校区理工北楼601报告厅

主讲:University of California,Ph.D John Treuer

主办:数学与信息学院、数学研究中心、福建省分析数学及应用重点实验室

专家简介:John Treuer is a Ph.D at University of California, Irvine. His research interests are Several Complex Variables and its applications.

报告摘要:Given f\in C^\infty_(0,1)(\overline{D}) where D is a smoothly bounded pseudoconvex domain in C^n such that \dbar f = 0, is there  a function u \in C^infty (0,0)(\overline{D}) so that \dbar u = f? It is well-known that this question can be answered affirmatively using L^2-methods. I will present a less well-known solution for strictly convex domains and time-pending strictly-pseudoconvex domains using Cauchy-Fantappie methods. The Cauchy-Fantappie approach has the advantage that the solution u to the equation \dbar u = f can some2018-07-06 (星期五) 14:30 ~ 2018-07-06 (星期五) 17:00 be written completely explicitly, which is not true for the L^2-method approach. The talk will be mainly based on papers written by R. Michael Range. The talk will be given in English.
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