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Poisson summation formula

an equation that relates the Fourier series coefficients of the periodic summation of a function to values of the function's continuous Fourier transform
Intangible Theorem Q387743

Facts

4 properties
Instance of
theorem
Maintained by WikiProject
WikiProject Mathematics[6]
Named after
Siméon Denis Poisson[2]
Studied by
analytic number theory, harmonic analysis, Riemannian geometry[3][4][5]
🏷️ Also known as
en Poisson’s summation formula en Poisson summation formula de poissonsche Summationsformel de poissonsche Summenformel fr resommation de Poisson fr formule de Poisson fr formule de sommation de Poisson fr formule sommatoire de Poisson it Risommazione di Poisson it Formula di sommazione di Poisson it Periodic summation it Sommazione periodica ja ポアソンの和公式 ja ポアソン和の公式 ja ポアソン和公式 pt fórmula de soma de Poisson zh 泊松和公式 zh 泊松求和公式 zh-hant 泊鬆和公式 zh-hant 泊鬆求和公式
🔖 Identifiers · 6
OpenAlex ID
C64092710
Digital Library of Mathematical Functions ID
1.8.E14
Freebase ID
/m/02h_1v
MathWorld ID
PoissonSumFormula
Microsoft Academic ID (discontinued)
64092710
NLab ID
Poisson summation formula

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🔗 Connections
Studied by 3
harmonic analysis, analytic number theory, Riemannian geometry
Created notable works 1
Siméon Denis Poisson
Instance of 1
theorem
Maintained by WikiProject 1
WikiProject Mathematics
Named after 1
Siméon Denis Poisson
← FactGrid item ID 1
total loss
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Summary

Poisson summation formula is a theorem[1].

Related Entities

Siméon Denis Poisson

References

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Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). Poisson summation formula. Retrieved November 8, 2026, from https://4ort.xyz/entity/poisson-summation-formula
MLA “Poisson summation formula.” 4ort.xyz Knowledge Graph, 4ort.xyz, 8 Nov. 2026, https://4ort.xyz/entity/poisson-summation-formula.
BibTeX @misc{4ortxyz_poisson-summation-formula_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Poisson summation formula}}, year = {2026}, url = {https://4ort.xyz/entity/poisson-summation-formula}, note = {Accessed: 2026-11-08}}
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