Definition of Fourier analysis in English:

Fourier analysis

Line breaks: Fou|rier ana|lysis
Pronunciation: /ˈfʊrɪə
, -rɪeɪ/


  • The analysis of a complex waveform expressed as a series of sinusoidal functions, the frequencies of which form a harmonic series.
    More example sentences
    • His theorem, now called the Riesz - Fischer theorem, which he proved in 1907, is fundamental in the Fourier analysis of Hilbert space.
    • The nonclassified areas of focus were pure mathematics, applied mathematics, statistics, logistics, applied areas of analysis such as Fourier analysis, and computation.
    • He did considerable work developing new mathematical tools particularly in the area of Fourier analysis and generalised functions.

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Pronunciation: kəːf
a slit made by cutting with a saw