Reflections on the q-Fourier transform and the q-Gaussian function
classification
🧮 math-ph
cond-mat.stat-mechmath.MP
keywords
q-fourierq-gaussianrealtransformableafflictanalyzedappeal
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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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