Published Online: Mar 20, 2009
Page range: 319 - 324
DOI: https://doi.org/10.2478/v10037-008-0039-6
This content is open access.
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