Open Access
VOL. 19 | 2018 Star Product, Star Exponential and Applications
Chapter Author(s) Akira Yoshioka
Editor(s) Ivaïlo M. Mladenov, Akira Yoshioka
Geom. Integrability & Quantization, 2018: 234-249 (2018) DOI: 10.7546/giq-19-2018-234-249

Abstract

We introduce star products for certain function space containing polynomials, and then we obtain an associative algebra of functions. In this algebra we can consider exponential elements, which are called star exponentials. Using star exponentials we can define star functions in the star product algebra. We explain several examples.

Information

Published: 1 January 2018
First available in Project Euclid: 23 December 2017

MathSciNet: MR3586172

Digital Object Identifier: 10.7546/giq-19-2018-234-249

Rights: Copyright © 2018 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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