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

Plastino, Ángel Luis; Rocca, Mario Carlos

Articulo

Registration in:

http://sedici.unlp.edu.ar/handle/10915/129646

issn:0378-4371

https://repositorioslatinoamericanos.uchile.cl/handle/2250/7468944

Author

Plastino, Ángel Luis

Rocca, Mario Carlos

Institutions

Universidad Nacional de La Plata (Argentina)

Abstract

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.

Instituto de Física La Plata

Subjects

Física

q-Fourier transform

Tempered ultradistributions

Complex-plane generalization

One-to-one character

Show full item record