Why not enough response for this question. I guess there is too little interest in classical Fourier analysis. I have given enough motivation, which is about proving a possibly new result in Fourier analysis, that too after a hundred years. Unless we disprove/prove we don't know, so I though it would generate enough interest too at least take notice and giving possible hints, just for the heck of it. I can't think of giving any better motivation unless of course I put a million dollar prize on top of it.

One comment comes, that too nothing to do with the current problem but suggesting to quit all this and go study a different subject. Duh, can't ask for worse!