On a representation of the inverse Fq transform
Abstract
A recent generalization of the Central Limit Theorem consistent with nonextensive statistical mechanics has been recently achieved through a generalized Fourier transform, noted q-Fourier transform. A representation formula for the inverse q-Fourier transform is here obtained in the class of functions G=1 q<3Gq, where Gq=\f = a eq-β x2, \, a>0, \, β>0 \. This constitutes a first step towards a general representation of the inverse q-Fourier operation, which would enable interesting physical and other applications.
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