On the nature of the Tsallis-Fourier transform
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...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2015
|
| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/86308 |
| Aporte de: |
| id |
I19-R120-10915-86308 |
|---|---|
| record_format |
dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Matemática q-Fourier transform Tempered ultradistributions |
| spellingShingle |
Matemática q-Fourier transform Tempered ultradistributions Plastino, Ángel Luis Rocca, Mario Carlos On the nature of the Tsallis-Fourier transform |
| topic_facet |
Matemática q-Fourier transform Tempered ultradistributions |
| description |
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. |
| format |
Articulo Articulo |
| author |
Plastino, Ángel Luis Rocca, Mario Carlos |
| author_facet |
Plastino, Ángel Luis Rocca, Mario Carlos |
| author_sort |
Plastino, Ángel Luis |
| title |
On the nature of the Tsallis-Fourier transform |
| title_short |
On the nature of the Tsallis-Fourier transform |
| title_full |
On the nature of the Tsallis-Fourier transform |
| title_fullStr |
On the nature of the Tsallis-Fourier transform |
| title_full_unstemmed |
On the nature of the Tsallis-Fourier transform |
| title_sort |
on the nature of the tsallis-fourier transform |
| publishDate |
2015 |
| url |
http://sedici.unlp.edu.ar/handle/10915/86308 |
| work_keys_str_mv |
AT plastinoangelluis onthenatureofthetsallisfouriertransform AT roccamariocarlos onthenatureofthetsallisfouriertransform |
| bdutipo_str |
Repositorios |
| _version_ |
1764820489550692353 |