List questions from poisson-summation-formula

Published on 19 Apr 2020 - 3:06

54

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Textbook reccommendations

Published on 21 Apr 2020 - 0:27

736

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Discrete-time fourier transform as a periodic sum of fourier transform for different sampling

Published on 09 May 2020 - 4:19

110

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weaker assumptions on Poisson summation formula

Published on 23 Feb 2017 - 0:34

397

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Poisson summation formula for positive integers

Published on 03 Mar 2017 - 15:42

167

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Proof of twisted Poisson summation formula using 'smoothed' Dirichlet characters?

Published on 09 Feb 2023 - 15:28

195

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Finding $\sum_{n } \frac{1}{(n+a)^2}$ using Poisson Summation formula

Published on 22 Feb 2023 - 14:09

127

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How are these two different definitions of the Poisson kernel on the n-torus related?

Published on 27 Apr 2023 - 22:47

37

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Poisson summation formula for the diagonal

Published on 22 Aug 2023 - 23:23

108

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How do I prove that $\left(\frac{1}{10^5} \sum_{n=-\infty}^{\infty} e^{\frac{-n^2}{10^{10}}}\right)^2 \approx \pi? $

Published on 15 Sep 2023 - 16:43

165

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Proof of functional equation of $\psi(x)=\sum_{n=1}^{\infty}e^{-n^2\pi x}$ without using Poisson Summation Formula

Published on 01 Oct 2023 - 5:42

49

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Write $\sum_{n=1}^{\infty}e^{-\frac{\beta k}{2}(\frac{n\pi}{l})^{2}}\cos(\frac{n\pi z}{l})$ as a sum of Gaussians

Published on 07 Oct 2023 - 18:52

51

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Poisson Summation with a Bessel Function

Published on 18 Oct 2023 - 21:58

23

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Poisson Summation Formula with vector functions

Published on 22 Jan 2024 - 16:37

102

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Fundamental solution of Poisson equation on the torus

Published on 22 Feb 2024 - 15:00

List Question

Evaluate $\sum_{n=-\infty}^{\infty}\frac{1}{(n-a)^2}$ with Poisson summation formula

Textbook reccommendations

Discrete-time fourier transform as a periodic sum of fourier transform for different sampling

weaker assumptions on Poisson summation formula

Poisson summation formula for positive integers

Proof of twisted Poisson summation formula using 'smoothed' Dirichlet characters?

Finding $\sum_{n } \frac{1}{(n+a)^2}$ using Poisson Summation formula

How are these two different definitions of the Poisson kernel on the n-torus related?

Poisson summation formula for the diagonal

How do I prove that $\left(\frac{1}{10^5} \sum_{n=-\infty}^{\infty} e^{\frac{-n^2}{10^{10}}}\right)^2 \approx \pi? $

Proof of functional equation of $\psi(x)=\sum_{n=1}^{\infty}e^{-n^2\pi x}$ without using Poisson Summation Formula

Write $\sum_{n=1}^{\infty}e^{-\frac{\beta k}{2}(\frac{n\pi}{l})^{2}}\cos(\frac{n\pi z}{l})$ as a sum of Gaussians

Poisson Summation with a Bessel Function

Poisson Summation Formula with vector functions

Fundamental solution of Poisson equation on the torus

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