Integral of Complex-Valued Measurable Function

نویسندگان

  • Keiko Narita
  • Noboru Endou
  • Yasunari Shidama
چکیده

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.

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عنوان ژورنال:
  • Formalized Mathematics

دوره 16  شماره 

صفحات  -

تاریخ انتشار 2008