On the nature of the Tsallis-Fourier Transform
Mathematical Physics
2015-07-22 v2 math.MP
Abstract
By recourse to tempered ultradistributions, we show here that the effect of a q-Fourier transform (qFT) is to map {\it equivalence classes} of functions into other classes in a one-to-one fashion. This suggests that Tsallis' q-statistics may revolve around equivalence classes of distributions and not on individual ones, as orthodox statistics does. We solve here the qFT's non-invertibility issue, but discover a problem that remains open.
Keywords
Cite
@article{arxiv.1301.3518,
title = {On the nature of the Tsallis-Fourier Transform},
author = {A. Plastino and M. C. Rocca},
journal= {arXiv preprint arXiv:1301.3518},
year = {2015}
}
Comments
19 pages, no figures. Title has changed. Text has changed