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Plancherel theorem

In mathematics, the Plancherel theorem (sometimes called the Parseval–Plancherel identity) is a result in harmonic analysis, proven by Michel Plancherel in 1910. It is a generalization of Parseval's theorem; often used in the fields of science and engineering, proving the unitarity of the Fourier transform.

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Formal definition

Locally compact groups

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Plancherel theorem

Nodes33
Edges32
Triples24
Avg. degree1.94
Density0.060606
Components1

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Plancherel theorem

Top relations

related to Formal definition · 9
Plancherel theorem → Fourier, If, In, L1, L2, Lebesgue, Plancherel, The Fourier, This
related to Locally compact groups · 8
Plancherel theorem → Fourier, Given, Haar, In, Plancherel, Pontryagin, The Plancherel, There
related to External links · 6
Plancherel theorem → EMS Press, Encyclopedia, Mathematics, Mathworld, Plancherel, Plancherel's Theorem
see also · 1
Plancherel theorem → Carleson's

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Important terminology

theorem displaystyle plancherel fourier widehat transform also int hat function locally compact groups mathbb analysis xi infty dx functions measure

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SubjectPredicateObjectConfidenceSrc
Plancherel theoremrelated to External linksPlancherel0.60section
Plancherel theoremrelated to External linksEncyclopedia0.60section
Plancherel theoremrelated to External linksMathematics0.60section
Plancherel theoremrelated to External linksEMS Press0.60section
Plancherel theoremrelated to External linksPlancherel's Theorem0.60section
Plancherel theoremrelated to External linksMathworld0.60section
Plancherel theoremrelated to Formal definitionThe Fourier0.60section
Plancherel theoremrelated to Formal definitionL10.60section
Plancherel theoremrelated to Formal definitionLebesgue0.60section
Plancherel theoremrelated to Formal definitionIf0.60section
Plancherel theoremrelated to Formal definitionPlancherel0.60section
Plancherel theoremrelated to Formal definitionFourier0.60section

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