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arXiv · 1301.2155

Reflections on the q-Fourier transform and the q-Gaussian function

A. Plastino·M. C. Rocca
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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.

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A. Plastino, M. C. Rocca. 2013-10-14. Reflections on the q-Fourier transform and the q-Gaussian function. https://doi.org/10.1016/j.physa.2013.04.047

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