Geodesic
Boundary Interpolation Problem in the Classes of Generalized Nevanlinna Matrix Functions
Matematičeskie zametki, Tome 73 (2003) no. 2, pp. 173-178

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The paper deals with the boundary indefinite interpolation problem in the classes of generalized Nevanlinna matrix functions. A one-to-one correspondence between the set of all solutions of the problem and the class of so-called $G$-regular self-adjoint extensions of the model symmetric operator associated with the problem is established. Sufficient conditions for the $G$-regularity of self-adjoint extensions (in terms of the Weyl function) are given. A formula for the description of all the solutions of the problem is obtained. 
@article{MZM_2003_73_2_a1,
     author = {A. A. Amirshadyan},
     title = {Boundary {Interpolation} {Problem} in the {Classes} of {Generalized} {Nevanlinna} {Matrix} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {173--178},
     publisher = {mathdoc},
     volume = {73},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_73_2_a1/}
}
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A. A. Amirshadyan. Boundary Interpolation Problem in the Classes of Generalized Nevanlinna Matrix Functions. Matematičeskie zametki, Tome 73 (2003) no. 2, pp. 173-178. http://geodesic.mathdoc.fr/item/MZM_2003_73_2_a1/