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mathematical analysis > functional analysis > Parseval's identity
algebra > elementary algebra > identity > Parseval's identity

Preferred term

Parseval's identity  

Definition

  • In mathematical analysis, Parseval's identity, named after Marc-Antoine Parseval, is a fundamental result on the summability of the Fourier series of a function. Geometrically, it is a generalized Pythagorean theorem for inner-product spaces (which can have an uncountable infinity of basis vectors).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Parseval%27s_identity)

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URI

http://data.loterre.fr/ark:/67375/PSR-QHFL5VR5-5

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