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

Document type: Articulo

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.

General information

Issue date: 2012
Document language: English
Journal: Physica A: Statistical Mechanics and its Applications; vol. 391, no. 20
Origin: Instituto de Física La Plata
Others identifiers: arXiv:1112.1985
ISSN: 0378-4371
Pages: 4740-4747

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Created: 15 de diciembre de 2021
Available since: 15 de diciembre de 2021
Please, use one of this identificators(URI) for cite o linking this item:
  • http://sedici.unlp.edu.ar/handle/10915/129646
  • https://doi.org/10.1016/j.physa.2012.05.036

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