q-Fourier Transform and Nonextensive Statistical Mechanics [PDF]
A. Plastino, M. C. RoccaWe 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.View original: http://arxiv.org/abs/1301.2155
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