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

Published 8 Dec 2011 in math-ph, cond-mat.stat-mech, math.MP, and quant-ph | (1112.1985v1)

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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