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math-ph2011★ 22 cited
q-Moments remove the degeneracy associated with the inversion of the q-Fourier transform
M. Jauregui, C. Tsallis, E. M. F. Curado
It was recently proven [Hilhorst, JSTAT, P10023 (2010)] that the q-generalization of the Fourier transform is not invertible in the full space of probability density functions for…
math-ph2010★ 42 cited
q-Generalization of the inverse Fourier transform
M. Jauregui, C. Tsallis
A wide class of physical distributions appears to follow the q-Gaussian form, which plays the role of attractor according to a Central Limit Theorem generalized in the presence of…
math-ph2010★ 39 cited
New representations of pi and Dirac delta using the nonextensive-statistical-mechanics q-exponential function
M. Jauregui, C. Tsallis
We present a generalization of the representation in plane waves of Dirac delta, , namely $δ(x)=(2-q)/(2π)\int_{-\infty}^\infty e_q^{…