On $q^2$-trigonometric functions and their $q^2$-Fourier transform
Mathematical Physics
2019-11-11 v1 math.MP
Abstract
In this paper, we first construct generalized -cosine, -sine and -exponential functions. We then use -exponential function in order to define and investigate a -Fourier transform. We establish -analogues of inversion and Plancherel theorems.
Keywords
Cite
@article{arxiv.1911.02841,
title = {On $q^2$-trigonometric functions and their $q^2$-Fourier transform},
author = {Sama Arjika},
journal= {arXiv preprint arXiv:1911.02841},
year = {2019}
}
Comments
7 pages