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
