Reflections on the q-Fourier transform and the q-Gaussian function

The standard q-Fourier Transform (qFT) of a constant diverges, which begs for a better treatment. In addition, Hilhorst has conclusively proved that the ordinary qFT is not of a one-to-one character for an infinite set of functions [H.J. Hilhorst, J. Stat. Mech. (2010) P10023]. Generalizing the ordi...

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Detalles Bibliográficos
Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2013
Materias:
Física
Q-Fourier transform
Tempered ultradistributions
Complex-plane generalization
One-to-one character
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/97224
https://ri.conicet.gov.ar/11336/23412
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-97224
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Q-Fourier transform
Tempered ultradistributions
Complex-plane generalization
One-to-one character
spellingShingle Física
Q-Fourier transform
Tempered ultradistributions
Complex-plane generalization
One-to-one character
Plastino, Ángel Luis
Rocca, Mario Carlos
Reflections on the q-Fourier transform and the q-Gaussian function
topic_facet Física
Q-Fourier transform
Tempered ultradistributions
Complex-plane generalization
One-to-one character
description The standard q-Fourier Transform (qFT) of a constant diverges, which begs for a better treatment. In addition, Hilhorst has conclusively proved that the ordinary qFT is not of a one-to-one character for an infinite set of functions [H.J. Hilhorst, J. Stat. Mech. (2010) P10023]. Generalizing the ordinary qFT analyzed in [S. Umarov, C. Tsallis, S. Steinberg, Milan J. Math. 76 (2008) 307], we appeal here to a complex q-Fourier transform, and show that the problems above mentioned are overcome.
format Articulo
Preprint
author Plastino, Ángel Luis
Rocca, Mario Carlos
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_sort Plastino, Ángel Luis
title Reflections on the q-Fourier transform and the q-Gaussian function
title_short Reflections on the q-Fourier transform and the q-Gaussian function
title_full Reflections on the q-Fourier transform and the q-Gaussian function
title_fullStr Reflections on the q-Fourier transform and the q-Gaussian function
title_full_unstemmed Reflections on the q-Fourier transform and the q-Gaussian function
title_sort reflections on the q-fourier transform and the q-gaussian function
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/97224
https://ri.conicet.gov.ar/11336/23412
work_keys_str_mv AT plastinoangelluis reflectionsontheqfouriertransformandtheqgaussianfunction
AT roccamariocarlos reflectionsontheqfouriertransformandtheqgaussianfunction
bdutipo_str Repositorios
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