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On the Asymptotics of Fourier Coefficients for the Potential in Hill's Equation
Fourier Coefficients Hill's Equation
2010/3/1
We consider Hill's equation y'' +(l -q)y=0 where q\in L1[0,p ]. We show that if ln-the length of the n-th instability interval- is of order O(n-k) then the real Fourier coefficients an,bn of q are of ...