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Kenan kılıçaslan
    Hesap Modülleri Matematica

Trasformazione di Fourier

f(x)=F(k)e2πikxdk;F(k)=f(x)e2πikxdx
F(k)=Fx[f(x)](k)=f(x)e2πikxdx
f(x)=F1k[F(k)](x)=F(k)e2πikxdk
F[f(x)]=F(k);F[g(x)]=G(k)ise
1.
F[af(x)+bg(x)]=aF[f(x)]+bF[g(x)]=aF(k)+bF(k)
2.
Fx[1](k)=f(x)e2πikxdx=δ(k)
3.
F[sin(2πk0x)](k)=12i[δ(k+k0)δ(kk0)]
4.
F[δ(xx0)](k)=δ(xx0)e2πikxdx=e2πikx0
5.
F[ek0|x|](k)=ek0|x|e2πikxdx=1πk0k2+k20
6.
F[eax2](k)=eax2e2πikxdx=πaeπ2k2/a
7.
F[H(x)](k)=e2πikxH(x)dx=12[δ(k)iπk]
8.
F[f(x)](k)=2πikF[f(x)](k)
9.
F[f(n)(x)](k)=(2πik)nF[f(x)](k)
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