q-Fourier Transform and its inversion-problem

Published 8 Dec 2011 in math-ph, cond-mat.stat-mech, and math.MP | (1112.1986v1)

Abstract: Tsallis' q-Fourier transform is not generally one-to-one. It is shown here that, if we eliminate the requirement that $q$ be fixed, and let it instead "float", a simple extension of the $F_q-$definition, this procedure restores the one-to-one character.

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