Research Output per year

## Personal profile

### Research interests

My area of research interest is the spectral theory of linear operators and its application to the solution of problems in the mathematical physics and functional analysis.
My recent research activity covers a broad area, including topics as far-off as high energy physics and numerical linear algebra.
These include
Numerical approximation of eigenvalues of self-adjoint operators
Spectral theory of non-self-adjoint operators
Non-trivial aspects of pseudospectral theory
Spectral theory of supermembranes

### Biography

I obtained my PhD degree in Mathematics from King's College London in 2001. Before arriving in Heriot-Watt University I spend a couple of years as a lecturer in the Universidad Simon Bolivar (Venezuela) and as a postdoctoral fellow in the University of Calgary (Canada). I have been staff here since 2005.

## Fingerprint Dive into the research topics where Lyonell Boulton is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Eigenvalue
Mathematics

Self-adjoint Operator
Mathematics

Pollution
Mathematics

Pseudospectra
Mathematics

matrices
Physics & Astronomy

operators
Physics & Astronomy

Harmonic Oscillator
Mathematics

Operator
Mathematics

##
Co Author Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 2002 2019

## A Multi-Term Basis Criterion for Families of Dilated Periodic Functions

Boulton, L. & Melkonian, H., 7 Jan 2019, In : Zeitschrift für Analysis und ihre Anwendungen. 38, 1, p. 107–124 18 p.Research output: Contribution to journal › Article

Periodic Functions

Multiplier

Riesz Basis

Invertibility

Fourier coefficients

## Measure of the potential valleys of the supermembrane theory

Boulton, L., García Del Moral, M. P. & Restuccia, Á., 10 Oct 2019, In : Physics Letters B. 797, 134873.Research output: Contribution to journal › Article

Open Access

File

valleys

matrices

Sobolev space

Dirichlet problem

uniqueness

## Quantum Bound States in Yang–Mills–Higgs Theory

Boulton, L., Schroers, B. J. & Smedley-Williams, K., Oct 2018, In : Communications in Mathematical Physics. 363, 1, p. 261-287 27 p.Research output: Contribution to journal › Article

Open Access

File

Laplace transformation

Monopole

Laplace Operator

Bound States

monopoles

## The Ground State of the D = 11 Supermembrane: The External Dirichlet Problem

Boulton, L., Garcia del Moral, M. P. & Restuccia, A., 25 Jun 2018, In : Journal of Physics: Conference Series. 1043, 1, 012034.Research output: Contribution to journal › Conference article

Open Access

File

Dirichlet problem

uniqueness

ground state

Hilbert space

## Arguments towards the construction of a matrix model groundstate

Boulton, L., Garcia del Moral, M. P. & Restuccia, A., 17 Jun 2016, In : Journal of Physics: Conference Series. 720, 1, 3 p., 012019.Research output: Contribution to journal › Article

Cauchy's integral theorem

Matrix Models

Ground State

Bounded Domain

Existence and Uniqueness