文献类型：期刊文献

英文题名：Cylindrical Poisson kernel method and its applications

作者：Qiao, Lei[1]

第一作者：乔蕾

通讯作者：Qiao, L[1]

机构：[1]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2021

卷号：72

期号：5

外文期刊名：ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

收录：;EI(收录号：20213410810128);Scopus(收录号：2-s2.0-85113233722);WOS:【SCI-EXPANDED(收录号:WOS:000687187100002)】；

基金：The author also thanks the anonymous referees and the editors for their helpful comments and suggestions.

语种：英文

外文关键词：Asymptotic behaviour; Cylindrical Poisson integral; Integral representation

摘要：Foundations of the modified Poisson kernel method were laid out by Finkelstein and Scheinberg in 1975 in the context of explicit solvability for the adaptive Dirichlet problem in a half plane. Over the past decade, this method has been further developed, and new applications have appeared both in the field of harmonic analysis and operator theory and in practical Schrodinger problems. In this paper, we pay special attention to cylindrical Poisson kernel method's application for the integral representations of harmonic functions in a cylinder.