We provide a simple recipe for obtaining all self-adjoint extensions, together with their
resolvent, of the symmetric operator $ S $ obtained by restricting the self-adjoint operator …

This paper has two main goals. First, we are concerned with a description of all self-adjoint
extensions of the Laplacian-Δ| _ C_0^ ∞ (Ω) in L 2 (Ω; dnx). Here, the domain Ω belongs to …

arXiv:0803.3179v2 [math.AP] 15 May 2008 Page 1 arXiv:0803.3179v2 [math.AP] 15 May 2008
GENERALIZED ROBIN BOUNDARY CONDITIONS, ROBIN-TO-DIRICHLET MAPS, AND …

Starting with an adjoint pair of operators, under suitable abstract versions of standard PDE
hypotheses, we consider the Weyl M-function of extensions of the operators. The extensions …

In this paper, we combine results on extensions of operators with recent results on the
relation between the M‐function and the spectrum, to examine the spectral behaviour of …

Diverse closed (and selfadjoint) realizations of elliptic differential expressions A= Σ 0⩽| α|,|
β|⩽ m (− 1) α D α a α, β (x) D β, a α, β (·)∈ C∞(̄ Ω) on smooth (bounded or unbounded) …

We introduce a purely functional analytic framework for elliptic boundary value problems in a
variational form. We define abstract Neumann and Dirichlet boundary conditions and a …

This book is concerned with model representations theory of linear non-selfadjoint and non-
unitary operators, one of booming areas of functional analysis. This area owes its origin to …

One of the central objects in the theory of singular Sturm-Liouville differential expressions is
the Titchmarsh-Weyl function m introduced and studied in the classical works of Titchmarsh …

We explore the extent to which a variant of a celebrated formula due to Jost and Pais, which
reduces the Fredholm perturbation determinant associated with the Schrödinger operator on …