On the Nonself-adjoint Sturm-Liouville Operator with Matrix Potential

2005/08/15 by O. A. Veliev, O. A. veliev, veliev, O. A.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math.SP

paper · pdf · doi:10.48550/arxiv.math/0508253

11 pages

arxiv created 2005/08/15 · arxiv updated 2009/12/01

Abstract

In this article we obtain the asymptotic formulas for the eigenvalues and eigenfunctions of the nonself-adjoint operator generated by a system of Sturm-Liouville equations with summable coefficients and the quasiperiodic boundary conditions. Then using these asymptotic formulas, we find the conditions on the potential for which the root funcions of this operator form a Riesz basis.

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