Boundary interpolation problem in the classes of generalized Nevanlinna matrix functions (Q1810294)

The paper deals with the boundary indefinite interpolation problem in 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 are given in terms of the Weyl function. A formula for the description of all solutions of the problem is also obtained.