@MISC{MESFUN6C.MIZ,
  AUTHOR = {Narita, Keiko and Endou, Noboru and Shidama, Yasunari},
  TITLE = {Integral of Complex-Valued Measurable Function},
  SECTION1 = {Definitions for complex-valued functions},
  SECTION2 = {The measurability of complex-valued functions},
  SECTION3 = {The integral of a complex-valued measurable function},
  SECTION4 = {Several properties of real-valued measurable functions},
  DAY = {30},
  MONTH = {July},
  YEAR = {2008},
  ADDRESS1 = {Hirosaki-city, Aomori, Japan},
  ADDRESS2 = {Gifu National College of Technology, Gifu, Japan},
  ADDRESS3 = {Shinshu University\\Nagano},
  SUMMARY = {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 \cite{MESFUNC6.ABS}, where the case
   of real-valued measurable functions is considered.}}



