Parseval's theorem

proper noun

The result that the Fourier transform is unitary; loosely, that the sum (or integral) of the square of a function is equal to the sum (or integral) of the square of its transform.

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Meanings

proper noun
  1. mathematicsThe result that the Fourier transform is unitary; loosely, that the sum (or integral) of the square of a function is equal to the sum (or integral) of the square of its transform.

Origin

Named after Marc-Antoine Parseval.

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Cite this entry
APA

Parseval's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Parseval's%20theorem

MLA

“Parseval's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Parseval's%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Parseval's theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Parseval's%20theorem.

Source: Parseval's theorem on Wiktionary, CC BY-SA 4.0.