Artículo

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

Plastino, Ángel LuisIcon ; Rocca, Mario CarlosIcon
Fecha de publicación: 05/2013
Editorial: Elsevier Science
Revista: Physica A: Statistical Mechanics and its Applications
ISSN: 0378-4371
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

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.
Palabras clave: Q-Fourier Transform , Tempered Ultradistributions , Complex-Plane Generalization , One-To-One Character
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Atribución-NoComercial-SinDerivadas 2.5 Argentina (CC BY-NC-ND 2.5 AR)
Identificadores
URI: http://hdl.handle.net/11336/23412
URL: http://www.sciencedirect.com/science/article/pii/S0378437113003609
DOI: http://dx.doi.org/10.1016/j.physa.2013.04.047
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Citación
Plastino, Ángel Luis; Rocca, Mario Carlos; Reflections on the q-Fourier transform and the q-Gaussian function; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 392; 18; 5-2013; 3952-3961
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