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VOL. 12 | 2011 Star Product and Applications
Mari Iida, Akira Yoshioka

Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka

Abstract

A family of star products parametrized by complex matrices is defined. Especially commutative associative star products are treated, and star exponentials with respect to these star products are considered. Jacobi's theta functions are given as infinite sums of star exponentials. As application, several concrete identities are obtained by properties of the star exponentials.

Information

Published: 1 January 2011
First available in Project Euclid: 13 July 2015

zbMATH: 1382.53027
MathSciNet: MR2780240

Digital Object Identifier: 10.7546/giq-12-2011-244-251

Rights: Copyright © 2011 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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