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Non-self-adjoint sturm-liouville operators with matrix potentials |
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| Authors: | O. A. Veliev |
| Affiliation: | (1) Dogus University, Russia |
| Abstract: | We obtain asymptotic formulas for non-self-adjoint operators generated by the Sturm-Liouville system and quasiperiodic boundary conditions. Using these asymptotic formulas, we obtain conditions on the potential for which the system of root vectors of the operator under consideration forms a Riesz basis. |
| Keywords: | Sturm-Liouville operator non-self-adjoint operator quasiperiodic boundary condition Riesz basis root function Jordan chain Bessel operator |
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