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q-Fourier Transform and its Inversion-Problem

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Abstract

Tsallis’ q-Fourier transform is not generally one-to-one. It is shown here that, if we eliminate the requirement that q be fixed, and let it instead “float”, a simple extension of the F q definition, this procedure restores the one-to-one character.

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Authors and Affiliations

  1. Instituto de Física (IFLP-CCT-Conicet), Universidad Nacional de La Plata (UNLP), C.C. 67 (1900), La Plata, Argentina

    A. Plastino & M. C. Rocca

  2. Departamento de Física, Fac. de Ciencias Exactas, Universidad Nacional de La Plata (UNLP), La Plata, Argentina

    M. C. Rocca

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  1. A. Plastino
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  2. M. C. Rocca
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Correspondence to M. C. Rocca.

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Plastino, A., Rocca, M.C. q-Fourier Transform and its Inversion-Problem. Milan J. Math. 80, 243–249 (2012). https://doi.org/10.1007/s00032-012-0179-6

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  • DOI: https://doi.org/10.1007/s00032-012-0179-6

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