Dilations, models and spectral problems of non-self-adjoint Sturm-Liouville operators

[摘要] In this study, we investigate the maximal dissipative singular Sturm-Liouville operators acting in the Hilbert space L_{r}²(a,b) (-∞≤a

[学科分类] 数学（综合）

[关键词] symmetric Sturm-Liouville operator;maximal dissipative operator;self-adjoint dilation;scattering matrix;functional model;characteristic function;completeness of the root functions