On a conjecture about Dirac's delta representation using q-exponentials

Abstract

A new representation of Dirac's delta-distribution, based on the so-called q-exponentials, has been recently conjectured. We prove here that this conjecture is indeed valid.

Cited by in corpus (10)

• Nonlinear Relativistic and Quantum Equations with a Common Type of Solution
• q-Generalization of the inverse Fourier transform
• Nonlinear Schroedinger Equation in the Presence of Uniform Acceleration
• Inversion of Tsallis' q-Fourier Transform and the complex-plane generalization
• A direct proof of Jauregui-Tsallis' conjecture
• $q$-Generalized representation of the $d$-dimensional Dirac delta and $q$-Fourier transform
• The limit distribution in the $q$-CLT for $q\ge 1$ is unique and can not have a compact support
• Reflections on the q-Fourier transform and the q-Gaussian function
• A Shannon-Tsallis transformation
• Limit distribution in the $q$-CLT for $q\ge 1$ can not have a compact support