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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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