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Russian Universities Reports. Mathematics, 2019, Volume 24, Issue 127, Pages 281–292
DOI: https://doi.org/10.20310/2686-9667-2019-24-127-281-292 (Mi vtamu153) 		 
Scientific articles

Star product and star function

A. Yoshioka

Tokyo University of Science
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DOI: https://doi.org/10.20310/2686-9667-2019-24-127-281-292
Abstract: We give a brief review on star products and star functions [8, 9]. We introduce a star product on polynomials. Extending the product to functions on complex space, we introduce exponential element in the star product algebra. By means of the star exponential functions we can define several functions called star functions in the algebra.We show certain examples.
Keywords: Moyal product, star product, star product algebra, star exponential functions.
Funding agency Grant number
Japan Society for the Promotion of Science 24540097
The work is partially supported by Grant-in-Aid for JSPS № 24540097.
Received: 14.06.2019
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. Yoshioka, “Star product and star function”, Russian Universities Reports. Mathematics, 24:127 (2019), 281–292
Citation in format AMSBIB
\Bibitem{Yos19}
\by A.~Yoshioka
\paper Star product and star function
\jour Russian Universities Reports. Mathematics
\yr 2019
\vol 24
\issue 127
\pages 281--292
\mathnet{http://mi.mathnet.ru/vtamu153}
\crossref{https://doi.org/10.20310/2686-9667-2019-24-127-281-292}
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