We extend the classical boundary values (0.1) g (a)=− W (ua (λ 0,⋅), g)(a)= lim x↓ a⁡ g (x)
u ˆ a (λ 0, x), g [1](a)=(pg′)(a)= W (u ˆ a (λ 0,⋅), g)(a)= lim x↓ a⁡ g (x)− g (a) u ˆ a (λ 0, x) ua …

In this work, we analyze the spectral ζ-function associated with the self-adjoint extensions,
TA, B, of quasi-regular Sturm–Liouville operators that are bounded from below. By utilizing …

We revisit the Krein–von Neumann extension in the case where the underlying symmetric
operator is strictly positive and apply this to derive the explicit form of the Krein–von …

We extend a result on renormalized oscillation theory, originally derived for Sturm–Liouville
and Dirac-type operators on arbitrary intervals in the context of scalar coefficients, to the …

The minimal and maximal operators generated by the Bessel differential expression on a
finite interval and a half-line are studied. All nonnegative self-adjoint extensions of the …

The abstract theory of boundary triples is applied to the classical Jacobi differential operator
and its powers in order to obtain the Weyl m-function for several self-adjoint extensions with …

The principal result of this paper is a reformulation of Weyl–Titchmarsh theory for (three-
coefficient) regular and singular Sturm–Liouville operators for separated and coupled self …

In this paper we introduce the theory of dominant solutions at infinity for nonoscillatory
discrete symplectic systems without any controllability assumption. Such solutions represent …

The purpose of this paper is to study nonnegative self-adjoint extensions associated with
singular Sturm–Liouville expressions with strictly positive minimal operators. We provide a …

Let $\dot {A} $ be a densely defined, closed, symmetric operator in the complex, separable
Hilbert space $\mathcal {H} $ with equal deficiency indices and denote by $\mathcal {N} …