paper

On the Gaussian functions of two discrete variables

arXiv:1912.01998

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.

9 pages, 1 figure. For more details see the section "Documente" at https://unibuc.ro/user/nicolae.cotfas/

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