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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.)