Artículos de revistas
On the Nature of the Tsallis–Fourier Transform
Fecha
2015-07Registro en:
Plastino, Ángel Luis; Rocca, Mario Carlos; On the Nature of the Tsallis–Fourier Transform; MDPI; Mathematics; 3; 3; 7-2015; 644-652
2227-7390
CONICET Digital
CONICET
Autor
Plastino, Ángel Luis
Rocca, Mario Carlos
Resumen
By 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.