Research Explorer

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Researcher

Roy Oste

Awards & Distinctions

21 Results

2024

Fourier kernels associated with the Clifford–Helmholtz system

Hendrik De BieRoy OsteZe Yang

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

The centre of the Dunkl total angular momentum algebra

Kieran CalvertMarcelo Gonçalves De MartinoRoy Oste

A1 Journal Article in JOURNAL OF ALGEBRA

2023

Generalised symmetries and bases for dunkl monogenics

Hendrik De BieAlexis Langlois-RémillardRoy OsteJoris Van der Jeugt

A1 Journal Article in ROCKY MOUNTAIN JOURNAL OF MATHEMATICS

Topics in representation theory of the Dunkl total angular momentum algebra

Alexis Langlois-RémillardJoris Van der JeugtHendrik De BieRoy Oste

2022

Finite-dimensional representations of the symmetry algebra of the dihedral Dunkl-Dirac operator

Hendrik De BieAlexis Langlois-RémillardRoy OsteJoris Van der Jeugt

A1 Journal Article in JOURNAL OF ALGEBRA

2020

An exceptional symmetry algebra for the 3D Dirac–Dunkl operator

Alexis Langlois-RémillardRoy Oste

Exact solution of the position-dependent effective mass and angular frequency Schrodinger equation : harmonic oscillator model with quantized confinement parameter

I Jafarov, E.S. M. NagiyevRoy OsteJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2018

On the algebra of symmetries of Laplace and Dirac operators

Hendrik De BieRoy OsteJoris Van der Jeugt

A1 Journal Article in LETTERS IN MATHEMATICAL PHYSICS

Symmetries of the S₃ Dirac-Dunkl operator

Hendrik De BieRoy OsteJoris Van der Jeugt

The total angular momentum algebra related to the S-3 Dunkl Dirac equation

Hendrik De BieRoy OsteJoris Van der Jeugt

A1 Journal Article in ANNALS OF PHYSICS

2017

A finite quantum oscillator model related to special sets of Racah polynomials

Roy OsteJoris Van der Jeugt

A1 Journal Article in PHYSICS OF ATOMIC NUCLEI

Laplace and Dirac operators, symmetry algebras, and their use in Fourier transforms and quantum oscillator models

Roy OsteJoris Van der JeugtHendrik De Bie

Tridiagonal test matrices for eigenvalue computations : two-parameter extensions of the Clement matrix

Roy OsteJoris Van der Jeugt

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

2016

A finite oscillator model with equidistant position spectrum based on an extension of su(2)

Roy OsteJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Algebraic structures related to Racah doubles

Roy OsteJoris Van der Jeugt

Doubling (dual) Hahn polynomials : classification and applications

Roy OsteJoris Van der Jeugt

A1 Journal Article in SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

Exactly solvable model of the one-dimensional confined harmonic oscillator

Roy OsteElchin JafarovAynura Jafarova

A2 Journal Article in TRANSACTIONS OF THE NATIONAL ACADEMY OF SCIENCES OF AZERBAIJAN. SERIES OF PHYSICAL-TECHNICAL AND MATHEMATICAL SCIENCES

Generalized Fourier transforms arising from the enveloping algebras of sl(2) and osp(1|2)

Hendrik De BieRoy OsteJoris Van der Jeugt

A1 Journal Article in INTERNATIONAL MATHEMATICS RESEARCH NOTICES

2015

Motzkin paths, Motzkin polynomials and recurrence relations

Roy OsteJoris Van der Jeugt

A1 Journal Article in ELECTRONIC JOURNAL OF COMBINATORICS

Unique characterization of the Fourier transform in the framework of representation theory

Hendrik De BieRoy OsteJoris Van der Jeugt

2014

The Wigner distribution function for the su(2) finite oscillator and Dyck paths

Roy OsteJoris Van der Jeugt

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL