Fourier's theorem

Fourier's theorem
noun Date: 1834 a theorem in mathematics: under suitable conditions any periodic function can be represented by a Fourier series

New Collegiate Dictionary. 2001.

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  • Fourier inversion theorem — In mathematics, Fourier inversion recovers a function from its Fourier transform. Several different Fourier inversion theorems exist. Sometimes the following identity is used as the definition of the Fourier transform::(mathcal{F}f)(t)=int {… …   Wikipedia

  • fourier's theorem — ē|āz noun Usage: usually capitalized F Etymology: after Jean Baptiste Joseph Fourier died 1830 : a theorem in mathematics: any periodic function may be resolved into sine and cosine terms involving known constants …   Useful english dictionary

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  • Fourier analysis — In mathematics, Fourier analysis is a subject area which grew out of the study of Fourier series. The subject began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The… …   Wikipedia

  • Fourier, Joseph, Baron — ▪ French mathematician Introduction born March 21, 1768, Auxerre, Fr. died May 16, 1830, Paris  French mathematician, known also as an Egyptologist and administrator, who exerted strong influence on mathematical physics through his Théorie… …   Universalium

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