On the completeness of the root vectors of dissipative Dirac operators with transmission conditions. (English) Zbl 1330.34132
Summary: We consider a dissipative Dirac system in the limit-circle case. Then using the Livsic’s theorem, we prove the completeness of the system of root vectors for a dissipative Dirac system with transmission conditions.
MSC:
34L10 | Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators |
34L40 | Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) |