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

Plastino, Ángel Luis; Rocca, Mario Carlos

info:eu-repo/semantics/article

Fecha

2012-10

Registro en:

Plastino, Ángel Luis; Rocca, Mario Carlos; Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 391; 20; 10-2012; 4740-4747

0378-4371

http://hdl.handle.net/11336/73580

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4387529

Autor

Plastino, Ángel Luis

Rocca, Mario Carlos

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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.

Materias

COMPLEX-PLANE GENERALIZATION

ONE-TO-ONE CHARACTER

Q-FOURIER TRANSFORM

TEMPERED ULTRADISTRIBUTIONS

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