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

Plastino, Ángel Luis; Rocca, Mario Carlos

Artículos de revistas

Fecha

2013-05

Registro en:

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

0378-4371

http://hdl.handle.net/11336/23412

CONICET Digital

CONICET

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1907257

Autor

Plastino, Ángel Luis

Rocca, Mario Carlos

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

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.

Materias

q-Fourier transform

Tempered ultradistributions

Complex-plane generalization

One-to-one character

Mostrar el registro completo del ítem