IFLP   13074
INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
artículos
Título:
Reflections on the q-Fourier transform and the q-Gaussian function
Autor/es:
A. PLASTINO AND M. C. ROCCA
Revista:
PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2013 vol. 392 p. 3952 - 3961
ISSN:
0378-4371
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 [J. Stat. Mech. P10023 (2010)]. Generalizing the ordinary qFT analyzed in [Milan J. Math. {f76} (2008) 307], we appeal here to  a complex q-Fourier transform, and show that the problems above mentioned are overcome