On the Gaussian functions of two discrete variables
Classical Analysis and ODEs
2020-01-20 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
A remarkable discrete counterpart of the Gaussian function of one continuous variable can be defined by using a Jacobi theta function, that is, as the sum of a convergent series. We extend this approach to Gaussian functions of two variables, and investigate the Fourier transform and Wigner function of the functions of discrete variable defined in this way.
Keywords
Cite
@article{arxiv.1912.01998,
title = {On the Gaussian functions of two discrete variables},
author = {Nicolae Cotfas},
journal= {arXiv preprint arXiv:1912.01998},
year = {2020}
}
Comments
9 pages, 1 figure. For more details see the section "Documente" at https://unibuc.ro/user/nicolae.cotfas/