测度与次调和函数向射线系的经典扫除
复变函数
2016-10-13 v2
摘要
我们构造并应用了复平面上以原点为顶点、由射线组成的闭系上测度与次调和函数的经典扫除（balayage），包括无穷阶的测度与次调和函数。在研究整函数与次调和函数在射线系上的行为时，需要这样的程序。其结果适用于次调和函数与整函数在射线系上增长的完全正则性、A类指数型整函数零点分布的研究，并触及指数系的不完备性。本文包含综述性章节和新的结果。
引用
@article{arxiv.1610.03274,
title = {Classic balayage of measures and subharmonic functions to a system of rays},
author = {Bulat Khabibullin and Al'bina Khasanova},
journal= {arXiv preprint arXiv:1610.03274},
year = {2016}
}
备注
30 pages, in Russian. Ufa International Mathematical Conference Institute of Mathematics with Computer Center of Russian Academy of Sciences, Bashkir State University and M. Akmullah Bashkir State Pedagogical University organize Ufa International Mathematical Conference. The conference will take place in Ufa (Russia) from September 27 till September 30, 2016