I have this problem and I dont know how to finish it:
Using the Cauchy Theorem, prove that the fourier tranform of 1/(1+t^2) is
(pi)*e^(-2*pi*|f|) .( you must show the intergration contour) Stetch the power spectrum.
I applied the fourier transform formula but then tried to break down the
1/(1+t^2) but I get stuck to apply the Cauchy theorem.
Please can I have some help?