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

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

2011-12-08

arxiv.org/abs/1112.1985v1

Physics

Mathematical Physics

23 pages, no figures

Scientific paper

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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