Integral of Complex-Valued Measurable Function

Narita, Keiko; Endou, Noboru; Shidama, Yasunari

doi:10.2478/v10037-008-0039-6

Abstract

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.

MML identifier: MESFUN6C, version: 7.9.01 4.101.1015

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Integral of Complex-Valued Measurable Function

Abstract

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