MULTIDIMENSIONAL TAUBERIAN COMPARISON-THEOREMS FOR HOLOMORPHIC-FUNCTIONS OF BOUNDED ARGUMENT

被引:4
|
作者
DROZHZHINOV, YN
ZAVYALOV, BI
机构
来源
MATHEMATICS OF THE USSR-IZVESTIYA | 1992年 / 39卷 / 03期
关键词
D O I
10.1070/IM1992v039n03ABEH002239
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Complex-valued admissible and completely admissible functions on a cone are considered. It is proved that holomorphic functions having nonnegative real part (bounded argument) are admissible. These functions are used as comparison functions in multidimensional Tauberian theorems for generalized functions.
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页码:1097 / 1112
页数:16
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