The linearization of boundary eigenvalue problems and reproducing kernel Hilbert spaces (Q5935583)

The authors consider the boundary eigenvalue problems for the adjoint of a symmetric relation \(S\) in a Hilbert space with finite, not necessarily equal, defect numbers, which are related to the selfadjoint Hilbert space extensions of \(S\) and their characterization in terms of boundary coefficients and the reproducing kernel Hilbert spaces they induce. Themain results of this paper were presented by the first author at the International Workshop on Operator Theory and Applications held in Groningen, Netherlands, Jone 30--July 3, 1998.