D’Alembert functional equation for matrix valued functions
Abstract
In this paper, we solve d’Alembert’s functional equation where the function to be determined are defined on the quaternion group Q8and take their values in the complex n×n−matrices.
Copyright © 2015 F. Lehlou, M. Moussa, A. Roukbi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
F. Lehlou, M. Moussa, A. Roukbi, D’Alembert functional equation for matrix valued functions, J. Math. Comput. Sci. 5 (2015), 752–761.
BibTeX
@article{Lehlou2015,
author = {Lehlou, F. and Moussa, M. and Roukbi, A.},
title = {D’Alembert functional equation for matrix valued functions},
journal = {J. Math. Comput. Sci.},
volume = {5},
year = {2015},
pages = {752--761},
doi = {}
}