Inversion of Tsallis' q-Fourier Transform and the complex-plane generalization
Mathematical Physics
2015-06-03 v1 Statistical Mechanics
math.MP
Quantum Physics
Abstract
We introduce 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 ultradistributions we show that this complex plane-generalization overcomes all troubles that afflict its real counterpart.
Cite
@article{arxiv.1112.1985,
title = {Inversion of Tsallis' q-Fourier Transform and the complex-plane generalization},
author = {A. Plastino and M. C. Rocca},
journal= {arXiv preprint arXiv:1112.1985},
year = {2015}
}
Comments
23 pages, no figures