关于多复变数积分表示的注释

Note on Integral Representations of Several Complex Variables

中文关键词:  多复变数  积分表示  支撑函数

英文关键词:several complex variables  integral representation  support function.

中文摘要:

      近年来许多文章应用所谓的Ａ类函数来建立Ｃ^ｎ空间中有界域上的积分表示．本文证明了Ｃ^ｎ（ｎ≥２）中任意一有界域上根本不存在这种Ａ类函数，并指出目前多复变数积分表示中存在的一些模糊概念和本质的错误

英文摘要:

      In recent years,some papers have applied the so called A class functions to establishintegral represntations on the bounded domain in C^ｎ space. But here it is shown that thisA class functions do not exist on any bounded domain in C^ｎ(n≥2),and we also pointout some obscure-ideas and essential errors which appeared in the study of some integralrepresentations of several complex variables in [1]-[2].