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math-ph2013★ 2 cited
On the nature of the Tsallis-Fourier Transform
A. Plastino, M. C. Rocca
By recourse to tempered ultradistributions, we show here that the effect of a q-Fourier transform (qFT) is to map {\it equivalence classes} of functions into other classes in a one…
math-ph2010★ 3 cited
The Fractionary Schrödinger Equation, Green Functions and Ultradistributions
A. L. De Paoli, M. C. Rocca
In this work, we generalize previous results about the Fractionary Schrödinger Equation within the formalism of the theory of Tempered Ultradistributions. Several examples of the u…