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arXiv · 1912.01998

On the Gaussian functions of two discrete variables

Nicolae Cotfas
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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.

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Nicolae Cotfas. 2019-12-03. On the Gaussian functions of two discrete variables. https://arxiv.org/abs/1912.01998

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