Some properties of a Cauchy type integral in a three-dimensional commutative algebra with one-dimensional radical

被引：0
|
作者：
Roman Pukhtaievych
Sergiy Plaksa
机构：
[1] University of Padova,Department of Mathematics “Tullio Levi
[2] Institute of Mathematics of the National Academy of Sciences of Ukraine,Civita”
来源：
Monatshefte für Mathematik | 2019年 / 189卷
关键词：
Commutative Banach algebra; Monogenic function; Cauchy type integral; Sokhotskii–Plemelj formulas; 30G35; 32A26; 32A55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the paper we consider a certain analog of the Cauchy type integral taking values in a three-dimensional commutative algebra over the field of complex numbers with one-dimensional radical. We have established sufficient conditions for the existence of limiting values for such an integral. It is also shown that analogues of Sokhotskii–Plemelj formulas hold.
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页码：523 / 548
页数：25
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