On the Basis Property of the Root Functions of Differential Operators with Matrix Coefficients
Spectral Theory
2009-12-23 v1
Abstract
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and periodic or antiperiodic boundary conditions. Then using these asymptotic formulas, we find necessary and sufficient conditions on the coefficients for which the system of eigenfunctions and associated functions of the operator under consideration forms a Riesz basis.
Keywords
Cite
@article{arxiv.0912.4340,
title = {On the Basis Property of the Root Functions of Differential Operators with Matrix Coefficients},
author = {O. A. Veliev},
journal= {arXiv preprint arXiv:0912.4340},
year = {2009}
}