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

dc.creatorPlastino, Ángel Luis
dc.creatorRocca, Mario Carlos
dc.date2013-05
dc.date2020-06-01T17:37:21Z
dc.date.accessioned2023-07-14T19:45:09Z
dc.date.available2023-07-14T19:45:09Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/97224
dc.identifierhttps://ri.conicet.gov.ar/11336/23412
dc.identifierissn:0378-4371
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7436545
dc.descriptionThe 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.
dc.descriptionInstituto de Física La Plata
dc.descriptionConsejo Nacional de Investigaciones Científicas y Técnicas
dc.formatapplication/pdf
dc.format3952-3961
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subjectFísica
dc.subjectQ-Fourier transform
dc.subjectTempered ultradistributions
dc.subjectComplex-plane generalization
dc.subjectOne-to-one character
dc.titleReflections on the q-Fourier transform and the q-Gaussian function
dc.typeArticulo
dc.typePreprint


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