Reflections on the q-Fourier transform and the q-Gaussian function
Mathematical Physics
2015-06-12 v2 Statistical Mechanics
math.MP
Abstract
We appeal to a complex q-Fourier transform as a generalization of the (real) one analyzed in [Milan J. Math. {\bf 76} (2008) 307]. By recourse to tempered ultra-distributions we are able to show that the q-Gaussian distribution can be nicely obtained, overcoming all troubles that afflict its real counterpart.
Cite
@article{arxiv.1301.2155,
title = {Reflections on the q-Fourier transform and the q-Gaussian function},
author = {A. Plastino and M. C. Rocca},
journal= {arXiv preprint arXiv:1301.2155},
year = {2015}
}
Comments
28 pages, no figures. Title has changed. Text has changed