The $\tau_q$-Fourier transform: covariance and uniqueness
General Physics
2018-06-13 v3 Mathematical Physics
math.MP
Abstract
We propose an alternative definition for a Tsallis entropy composition-inspired Fourier transform, which we call "-Fourier transform". We comment about the underlying "covariance" on the set of algebraic fields that motivates its introduction. We see that the definition of the -Fourier transform is automatically invertible in the proper context. Based on recent results in Fourier analysis, it turns that the -Fourier transform is essentially unique under the assumption of the exchange of the point-wise product of functions with their convolution.
Keywords
Cite
@article{arxiv.1709.09562,
title = {The $\tau_q$-Fourier transform: covariance and uniqueness},
author = {Nikolaos Kalogeropoulos},
journal= {arXiv preprint arXiv:1709.09562},
year = {2018}
}
Comments
14 pages, No figures, Standard LaTeX2e. This version: A few modifications, acknowledgement of the related work of A. M. Scarfone, additional references. To be published in Modern Physics Letters B