A direct proof of Jauregui-Tsallis' conjecture

Abstract

We give here direct proof of a recent conjecture of Jauregui and Tsallis about a new representation of Dirac's delta distribution by means of q-exponentials. The proof is based in the use of tempered ultradistributions' theory.

19 pages, no figures

References in corpus (3)

• Scale invariance and related properties of q-Gaussian systems
• On a conjecture about Dirac's delta representation using q-exponentials
• Estimation in a fluctuating medium and power-law distributions

Cited by in corpus (6)

• Inversion of Tsallis' q-Fourier Transform and the complex-plane generalization
• $q$-Generalized representation of the $d$-dimensional Dirac delta and $q$-Fourier transform
• Reflections on the q-Fourier transform and the q-Gaussian function
• New Solution of Diffusion-Advection Equation for Cosmic-Ray Transport Using Ultradistributions
• A Shannon-Tsallis transformation
• The Fractionary Schrödinger Equation, Green Functions and Ultradistributions