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Fourier analysis

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

Definition of Fourier analysis in English:

noun

Mathematics
The analysis of a complex waveform expressed as a series of sinusoidal functions, the frequencies of which form a harmonic series.
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.

Definition of Fourier analysis in:

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