On the Equivalence of Fourier Expansion and Poisson Summation Formula for the Series Approximation of the Exponential Function

Details On the Equivalence of Fourier Expansion and Poisson Summation Formula for the Series Approximation of the Exponential Function On the Equivalence of Fourier Expansion and Poisson Summation Formula for the Series Approximation of the Exponential Function

2012-02-14

arxiv.org/abs/1202.5457v1

Mathematics

Classical Analysis and ODEs

3 pages

Scientific paper

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.

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