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JOURNALS // Russian Universities Reports. Mathematics // Archive

Russian Universities Reports. Mathematics, 2019 Volume 24, Issue 127, Pages 281–292 (Mi vtamu153)

Scientific articles

Star product and star function

A. Yoshioka

Tokyo University of Science

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.

UDC: 517.9

Received: 14.06.2019

DOI: 10.20310/2686-9667-2019-24-127-281-292



© Steklov Math. Inst. of RAS, 2024