S. M. Abrarov, B. M. Quine, R. K. Jagpal
Published 2012-02-14, updated 2019-04-25Version 2
In this short note we show the equivalence of Fourier expansion and Poisson summation approaches for the series approximation of the exponential function $\exp ({-{t^2}/4})$. The application of the Poisson summation formula is shown to reduce to that of the Fourier expansion method.
Poisson summation formula and Index Transforms
On the equivalence between the sets of the trigonometric polynomials
Properties of three functions relating to the exponential function and the existence of partitions of unity
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