Integral of Complex-Valued Measurable Function

被引：6
|
作者：
Narita, Keiko
Endou, Noboru [1 ]
Shidama, Yasunari [2 ]
机构：
[1] Gifu Natl Coll Technol, Motosu, Japan
[2] Shinshu Univ, Nagano, Japan
来源：
FORMALIZED MATHEMATICS | 2008年 / 16卷 / 04期
关键词：
D O I：
10.2478/v10037-008-0039-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we formalized the notion of the integral of a complex-valued function considered as a sum of its real and imaginary parts. Then we defined the measurability and integrability in this context, and proved the linearity and several other basic properties of complex-valued measurable functions. The set of properties showed in this paper is based on [15], where the case of real-valued measurable functions is considered.
引用
收藏
页码：319 / 324
页数：6
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