Laplace
Transforms
f(x) = ![](integral.gif)
e^(-xt) g(t) dt (Laplace Transform)
f(x) = ![](integral.gif)
e^(-xt) g(t) d (t) (Laplace-Stieltjes
Transform)
f2(x) = L{L{g(t)}} = ![](integral.gif)
g(t)/(x+t) dt (Stieltjes Transform)
Fourier Transforms
f(x) = 1/ (2 )
![](integral.gif)
g(t) e^(i tx) dt (Fourier
Transform)
f(x) = (2/ )
![](integral.gif)
g(x) cos(xt) dt (Cosine Transform)
f(x) = (2/ )
![](integral.gif)
g(x) sin(xt) dt (Sine Transform)
Power Series Transform
f(x) = (k=0.. )
g(k) x^k
![](barspec.gif)
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