I have a pure mathematics problem which I formulated after years of research in signal processing of audio signals and years going into formulating a problem on precise mathematical terms, which is a provable/disprovable mathematical statement. (I avoid using the term conjecture as I am not qualified enough)
My belief is that it has very important applications in real world signal processing. I want to solve this math problem, and I need funding, research environment, collaborators, and access to mathematicians for discussions. All this I believe is provided by a PhD position in a University that is serious about path breaking research. My goal is to solve this particular problem and not any other problem.
How can I go about achieving this goal?
Edit : summary of problem
In effect i have proposed a new formula for inverse fourier transform with no assumption on its jumps except that they are finite and absent beyond a certain point. This new formula ensures not only pointwise convergence but also convegence of variation. Classical Fourier formula does not have convegence of variation in the presence of jumps.
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