Inversion of Umarov–Tsallis–Steinberg’s q-Fourier transform and the complex-plane generalization

We introduce a complex q-Fourier transform as a generalization of the (real) one analyzed in [S. Umarov, C. Tsallis, S. Steinberg, Milan J. Math. 307 (2008)]. By recourse to tempered ultradistributions we show that this complex-plane generalization overcomes all the troubles that afflict its real co...

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Detalles Bibliográficos
Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Física
q-Fourier transform
Tempered ultradistributions
Complex-plane generalization
One-to-one character
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129646
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-129646
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
Inversion of Umarov–Tsallis–Steinberg’s q-Fourier transform and the complex-plane generalization
topic_facet Física
q-Fourier transform
Tempered ultradistributions
Complex-plane generalization
One-to-one character
description We introduce a complex q-Fourier transform as a generalization of the (real) one analyzed in [S. Umarov, C. Tsallis, S. Steinberg, Milan J. Math. 307 (2008)]. By recourse to tempered ultradistributions we show that this complex-plane generalization overcomes all the troubles that afflict its real counterpart.
format Articulo
Articulo
author Plastino, Ángel Luis
Rocca, Mario Carlos
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_sort Plastino, Ángel Luis
title Inversion of Umarov–Tsallis–Steinberg’s q-Fourier transform and the complex-plane generalization
title_short Inversion of Umarov–Tsallis–Steinberg’s q-Fourier transform and the complex-plane generalization
title_full Inversion of Umarov–Tsallis–Steinberg’s q-Fourier transform and the complex-plane generalization
title_fullStr Inversion of Umarov–Tsallis–Steinberg’s q-Fourier transform and the complex-plane generalization
title_full_unstemmed Inversion of Umarov–Tsallis–Steinberg’s q-Fourier transform and the complex-plane generalization
title_sort inversion of umarov–tsallis–steinberg’s q-fourier transform and the complex-plane generalization
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/129646
work_keys_str_mv AT plastinoangelluis inversionofumarovtsallissteinbergsqfouriertransformandthecomplexplanegeneralization
AT roccamariocarlos inversionofumarovtsallissteinbergsqfouriertransformandthecomplexplanegeneralization
bdutipo_str Repositorios
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