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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 Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Eigenvalue Mathematics
Self-adjoint Operator Mathematics
Pollution Mathematics
Enclosure Mathematics
Matrix Models Mathematics
uniqueness Physics & Astronomy
operators Physics & Astronomy
Ground State Mathematics

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Research Output 2005 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 journalArticle

Periodic Functions
Multiplier
Riesz Basis
Invertibility
Fourier coefficients

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 journalArticle

Open Access
File
Laplace transformation
Yang-Mills
Higgs
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 journalConference 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 journalArticle

Cauchy's integral theorem
Matrix Models
Ground State
Bounded Domain
Existence and Uniqueness

Generalised cosine functions, basis and regularity properties

Boulton, L. & Melkonian, H., 1 Dec 2016, In : Journal of Mathematical Analysis and Applications. 444, 1, p. 25–46 22 p.

Research output: Contribution to journalArticle

Open Access
File
Regularity Properties
Basis Functions
Schauder Basis
Fourier coefficients
Regularity