I am seeking help to do an inversion of a specific Fourier transform in Matlab. More specifically it is the Fourier transform corresponding to the stock in the 3/2 model, any inversion procedure will be fine but if possible I prefer Carr-Madan 1999. The problem I think is mostly about expressing the transform in a stable way. I can supply the specific expression upon request.
The result should deliver the original function in a well-documented Matlab code.
I believe the problem, i believe, is quite hard so I will look for candidates with good similar experience or who can document proficiency .