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

Author

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  • Plastino, A.
  • Rocca, M.C.

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.

Suggested Citation

  • Plastino, A. & Rocca, M.C., 2012. "Inversion of Umarov–Tsallis–Steinberg’s q-Fourier transform and the complex-plane generalization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4740-4747.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:20:p:4740-4747
    DOI: 10.1016/j.physa.2012.05.036
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    Cited by:

    1. Nakamura, Gilberto M. & de Martini, Alexandre H. & Martinez, Alexandre S., 2019. "Extension of inverse q-Fourier transform via conformal mapping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 106-111.

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