- Turkish Journal of Mathematics
- Vol: 24 Issue: 1
- On the Asymptotics of Fourier Coefficients for the Potential in Hill's Equation
On the Asymptotics of Fourier Coefficients for the Potential in Hill's Equation
Authors : Haskız Coşkun
Pages : 15-24
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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 the same order for(k=1,2,3), which in turn implies that q(k-2), the (k-2)th derivative of q, is absolutely continuous almost everywhere for k=2,3.Keywords : Turk. J. Math., 24, (2000), 15-24. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.24, iss.1.