On the Titchmarsh‐Weyl Coefficients for Singular S‐Hermitian Systems II

In part I of this work we defined a Titchmarsh‐Weyl‐coefficient M (λ) for singular 8 hermitian systems of arbitrary deficiency index. This construction proceeded by the method of von Noumann for selfadjoint extensions of symmetric operators. In this part we show how a Titchmarsh‐Weyl coefficient M (λ) defined by a limit of Titchmarsh‐Weyl coefficients on compact intervals is related to our M (λ). Examples are given in the intermediate deficiency index case which show that put all limits of Titchmarsh ‐ Weyl coefficients on compact intervals give rise to a singular selfadjoint problem.