I want a non-local functional of the input where it can describe that the dependence of the different outputs is not linear.
How do you see the Hilbert Transform accomplishing this?
I'm not being snarky here. I'm really interested.
So variblae Output z= Hilbert[f(Inputy)](on INput y)
So the output is actually an integral over the dumb variable y and where y_o is the actual value of the input being y_o the varialbe after the integral.
This is what I mena by non-local in the sense that output z depends on all possible values of input y.
it is not local because the funcionality is not linear at all.. SO non-local in the sense of the dependence... although I do not know if this would be of any use at all... do outputs may depend on all possible variable of the input?
A pleasure I therefore claim to show, not how men think in myths, but how myths operate in men's minds without their being aware of the fact. Levi-Strauss, Claude