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

Published 10 Jan 2013 in math-ph, cond-mat.stat-mech, and math.MP | (1301.2155v2)

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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Authors (2)

  1. A. Plastino 
  2. M. C. Rocca 

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