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Area Mathematics - Functions / Integral transformations

IEV ref103-04-03

en
inverse Fourier transform
representation of a real or complex function f(t) of the real variable t by the integral transformation

f(t)= 1 2π + F(ω) e jωt dω MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaamiDaiaacMcacqGH9aqpdaWcaaqaaiaaigdaaeaacaaIYaacdaGae8hWdahaamaapedabaGaamOraiaacIcacqaHjpWDcaGGPaqcLbuaciGGLbGcdaahaaWcbeqaaKqzaeGaciOAaiabeM8a3TGaamiDaaaajugqbiGacsgakiabeM8a3bWcbaGaaGjcVlabgkHiTiabg6HiLcqaaiaayIW7cqGHRaWkcqGHEisPa0Gaey4kIipaaaa@543B@

where F(ω) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAeacaGGOaGaeq yYdCNaaiykaaaa@3943@ is the Fourier transform of the function f(t) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaam iDaiaacMcaaaa@388F@ and j is the imaginary unit


fr
transformée inverse de Fourier, f
représentation d'une fonction réelle ou complexe f(t) de la variable réelle t par la transformation intégrale

f(t)= 1 2π + F(ω) e jωt dω MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaamiDaiaacMcacqGH9aqpdaWcaaqaaiaaigdaaeaacaaIYaacdaGae8hWdahaamaapedabaGaamOraiaacIcacqaHjpWDcaGGPaqcLbuaciGGLbGcdaahaaWcbeqaaKqzaeGaciOAaiabeM8a3TGaamiDaaaajugqbiGacsgakiabeM8a3bWcbaGaaGjcVlabgkHiTiabg6HiLcqaaiaayIW7cqGHRaWkcqGHEisPa0Gaey4kIipaaaa@543B@

F(ω) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAeacaGGOaGaeq yYdCNaaiykaaaa@3943@ est la transformée de Fourier de la fonction f(t) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaam iDaiaacMcaaaa@388F@ et j est l’unité imaginaire


ar
تحويل فورير العكسى

de
inverse Fourier-Transformierte, f
Fourier-Integral, n

es
transformada inversa de Fourier

it
trasformata inversa di Fourier

ja
逆フーリエ変換, 動詞

pl
transformata odwrotna Fouriera

pt
transformada inversa de Fourier

sr
инверзна Фуријеова трансформација, ж јд

sv
invers fouriertransform

zh
傅里叶逆变换, <相关条目:103-04-04>

Publication date: 2009-12
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