info:eu-repo/semantics/article
Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization
Fecha
2012-10Registro 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
CONICET Digital
CONICET
Autor
Plastino, Ángel Luis
Rocca, Mario Carlos
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.