2017년 2월 28일 화요일

Poisson sum formula

Poisson sum formula

A Poisson sum formula (Poisson will be boiled and comes English: Poisson summation formula) is a formula to insist on the infinity sum and the infinity sum of a certain function line of thing that Fourier transform did a function line being equal in mathematics. I was discovered by Simeon D'ni Poisson (Siméon Denis Poisson).

Proof

I am shown by the following expression transformation.

 

Applied

It is applied to the proof in conjunction with テータ function, the Lehman zeta function.

Allied item

This article is taken from the Japanese Wikipedia Poisson sum formula

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