03-384 Ne\c{s}e Dernek, O.A.Veliev

On the Riesz Basisness of the Root \ Functions of the Nonselfadjoint Sturm-Liouville Operator (27K, LATeX 2e) Aug 26, 03

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. In this article we obtain the asymptotic formulas of arbitrary order for eigenfunctions and eigenvalues of the nonselfadjoint Sturm-Liouville operators with \ periodic and antiperiodic boundary conditions, when the potential is a summable function. Then using these asymptotic formulas, we find the conditions on Fourier coefficients of the potential for which the eigenfunctions and associated functions of these operators form a Riesz basis in $L_{2}(0,1)$.

Files: 03-384.tex