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arXiv · 1112.1985

Inversion of Tsallis' q-Fourier Transform and the complex-plane generalization

A. Plastino·M. C. Rocca
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Abstract

We introduce a complex q-Fourier transform as a generalization of the (real) one analyzed in [Milan J. Math. {\bf 76} (2008) 307]. By recourse to tempered ultradistributions we show that this complex plane-generalization overcomes all troubles that afflict its real counterpart.

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A. Plastino, M. C. Rocca. 2011-12-08. Inversion of Tsallis' q-Fourier Transform and the complex-plane generalization. https://doi.org/10.1016/j.physa.2012.05.036

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