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Zeros of random trigonometric polynomials

For a certain nonconvex optimization problem, I need to know the expected number of real zeros of trigonometric polynomials.


This is not exactly the usual sense of polynomial.

This is well studied for i.i.d. standard normal coefficients \(A(k),b(k)\). I need more general results; in particular I need to relax the identical distribution assumption. I wonder if this is a case where a worst-case result might be easier than a stochastic one?

Reading: [@FlascheExpected2017;@GarciaBrief2002;@VanderbeiComplex2015;@DumitrescuPositive2017;@EdelmanHow1995].