> Suppose I have a function f(u),
>
> and define g(s)=int(f(u), u from -inf to s),
>
> what is the Fourier transform of this function? I could see it may
> need some additional conditions, or generalized Fourier transforms,
> etc.
>
> Any thoughts?
>
>
Note that f is the derivative of g. Try integration by
parts for the Fourier transform of g, to obtain g' = f
in the integrand.
That should get you a relationship between the Fourier
transform of g and that of f.
Dale
Reply by Wowow●October 10, 20072007-10-10
Suppose I have a function f(u),
and define g(s)=int(f(u), u from -inf to s),
what is the Fourier transform of this function? I could see it may need some
additional conditions, or generalized Fourier transforms, etc.
Any thoughts?