I. Wood

activity

20082020

collaborators

6 papers

math.SP2020

The inverse problem for a spectral asymmetry function of the Schrödinger operator on a finite interval

B. Malcolm Brown, Karl Michael Schmidt, Stephen P. Shipman +1

For the Schrödinger equation $- d^{2} u / d x^{2} + q (x) u = λ u$ on a finite $x$ -interval, there is defined an "asymmetry function" $a (λ; q)$ , which is entire of order $1/2$ and type $1$ in…

math.SP2018

Embedded eigenvalues for perturbed periodic Jacobi operators using a geometric approach

Edmund Judge, Sergey Naboko, Ian Wood

We consider the problem of embedding eigenvalues into the essential spectrum of periodic Jacobi operators, using an oscillating, decreasing potential. To do this we employ a geomet…

math.FA2018

Essential spectrum for Maxwell's equations

Giovanni S. Alberti, Malcolm Brown, Marco Marletta +1

We study the essential spectrum of operator pencils associated with anisotropic Maxwell equations, with permittivity $ε$ , permeability $μ$ and conductivity $σ$ , on finite…

math.FA2016

The Proper Dissipative Extensions of a Dual Pair

Christoph Fischbacher, Sergey Naboko, Ian Wood

Let $A$ and $(- A)$ be dissipative operators on a Hilbert space $H$ and let $(A, A)$ form a dual pair, i.e. $A \subset A^{*}$ , resp.\ $\wide…

math.SP2013

Some spectral properties of Rooms and Passages domains and their skeletons

B. M. Brown, W. D. Evans, I. G. Wood

In this paper we investigate spectral properties of Lapla- cians on Rooms and Passages domains. In the first part, we use Dirichlet- Neumann bracketing techniques to show that for…

math.SP2008

The abstract Titchmarsh-Weyl M-function for adjoint operator pairs and its relation to the spectrum

Malcolm Brown, James Hinchcliffe, Marco Marletta +2

In the setting of adjoint pairs of operators we consider the question: to what extent does the Weyl M-function see the same singularities as the resolvent of a certain restriction…