Isolated singularities of harmonic functions and analytic functions

被引:0
|
作者
Chung, SY [1 ]
Kim, D
Kim, SM
机构
[1] Sogang Univ, Dept Math, Seoul 132714, South Korea
[2] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea
关键词
singularity; ultradistribution; hyperfunction; harmonic function;
D O I
10.1080/10652460108819316
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The isolated singularity for the harmonic function in the deleted unit ball U \ (0) will be classified by introducing terminologies such as hyperfunctional singularity, ultradistributional singularity of various types and the distributional singularity according to its behavior near the singularity. Moreover, each type of singularity will be characterized by the growth rate of it arround the sigularity. Finally, we give an analog for the analytic functions.
引用
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页码:257 / 272
页数:16
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