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http://hdl.handle.net/11320/21080| Tytuł: | Integral of Complex-Valued Measurable Function |
| Autorzy: | Narita, Keiko Endou, Noboru Shidama, Yasunari |
| Data wydania: | 2008 |
| Data dodania: | 22-wrz-2026 |
| Wydawca: | University of Białystok |
| Źródło: | Formalized Mathematics, Volume 16, Issue 4, 2008, Pages 319-324 |
| Abstrakt: | 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. |
| Afiliacja: | Keiko Narita - Hirosaki-city Aomori, Japan Noboru Endou - Gifu National College of Technology, Japan Yasunari Shidama - Shinshu University Nagano, Japan |
| URI: | http://hdl.handle.net/11320/21080 |
| DOI: | 10.2478/v10037-008-0039-6 |
| ISSN: | 1426-2630 |
| e-ISSN: | 1898-9934 |
| Typ Dokumentu: | Article |
| metadata.dc.rights.uri: | https://creativecommons.org/licenses/by-sa/4.0/ |
| Właściciel praw: | © 2009 Keiko Narita, Noboru Endou, Yasunari Shidama, published by University of Białystok This work is licensed under the Creative Commons License. |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2008, Volume 16, Issue 4 |
Pliki w tej pozycji:
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| Integral_of_Complex-Valued_Measurable_Function.pdf | 226,6 kB | Adobe PDF | Otwórz |
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