Integral of Complex-Valued Measurable Function
Keiko Narita ; Noboru Endou ; Yasunari Shidama
Formalized Mathematics, Tome 16 (2008), p. 319-324 / Harvested from The Polish Digital Mathematics Library
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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

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:266613 
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     title = {Integral of Complex-Valued Measurable Function},
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     volume = {16},
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     zbl = {1298.26030},
     language = {en},
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Keiko Narita; Noboru Endou; Yasunari Shidama. Integral of Complex-Valued Measurable Function. Formalized Mathematics, Tome 16 (2008) pp. 319-324. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0039-6/

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