IFLP   13074
INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
artículos
Título:
On the nature of the Tsallis-Fourier Transform
Autor/es:
A. PLASTINO AND M. C. ROCCA
Revista:
Mathematics
Editorial:
MDPI
Referencias:
Año: 2015 vol. 3 p. 644 - 652
ISSN:
2227-7390
Resumen:
By recourse to tempered ultradistributions, we showhere that the effect of a q-Fourier transform (qFT) is to map {itequivalence classes} of functions into other classes in aone-to-one fashion. This suggests that Tsallis´ q-statistics mayrevolve around equivalence classes of distributions and not onindividual ones, as orthodox statistics does. We solve here theqFT´s non-invertibility issue, but discover a problem that remainsopen.