On the Nature of the Tsallis–Fourier Transform
AbstractBy recourse to tempered ultradistributions, we show here that the effect of a q-Fourier transform (qFT) is to map equivalence classes of functions into other classes in a one-to-one fashion. This suggests that Tsallis’ q-statistics may revolve around equivalence classes of distributions and not individual ones, as orthodox statistics does. We solve here the qFT’s non-invertibility issue, but discover a problem that remains open. View Full-Text
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Plastino, A.; Rocca, M.C. On the Nature of the Tsallis–Fourier Transform. Mathematics 2015, 3, 644-652.
Plastino A, Rocca MC. On the Nature of the Tsallis–Fourier Transform. Mathematics. 2015; 3(3):644-652.Chicago/Turabian Style
Plastino, A.; Rocca, Mario C. 2015. "On the Nature of the Tsallis–Fourier Transform." Mathematics 3, no. 3: 644-652.