By Associate Professor Ian Doust

Preprints

Blower G; Doust I, 2024, Linear systems, spectral curves and determinants, http://arxiv.org/abs/2409.15826v1

Doust I; Weston A, 2024, Beyond trees: the metric geometry of subsets of weighted Hamming cubes, http://arxiv.org/abs/2404.06684v2

Doust I; Weston A, 2024, Polygonal equalities and $p$-negative type, http://arxiv.org/abs/2404.06658v1

Doust I; Stoneham A, 2023, Tietze type extensions for absolutely continuous functions in the plane, http://arxiv.org/abs/2308.04628v1

Blower G; Doust I, 2022, Linear systems, Hankel products and the sinh-Gordon equation, http://dx.doi.org/10.1016/j.jmaa.2023.127140

Doust I; Leinert M; Stoneham A, 2022, The Banach algebras $AC(σ)$ and $BV(σ)$, http://dx.doi.org/10.1007/s00025-022-01788-0

Doust I; Wolf R, 2021, A problem on distance matrices of subsets of the Hamming cube, http://dx.doi.org/10.1090/bproc/122

Al-shakarchi S; Doust I, 2020, $AC(σ)$ spaces for polygonally inscribed curves, http://dx.doi.org/10.1007/s43037-020-00110-w

Doust I; Robertson G; Stoneham A; Weston A, 2020, Distance matrices of subsets of the Hamming cube, http://dx.doi.org/10.48550/arxiv.2005.09205

Blower G; Brett C; Doust I, 2019, Statistical Mechanics of the Periodic Benjamin-Ono Equation, http://dx.doi.org/10.48550/arxiv.1902.01153

Doust I, 2018, A note on positive $\mathcal{AN}$ operators, http://dx.doi.org/10.1017/S0004972718001296

Al-shakarchi S; Doust I, 2018, Isomorphisms of $AC(σ)$ spaces for linear graphs, http://dx.doi.org/10.1007/s43036-020-00053-x

Doust I; Al-shakarchi S, 2017, Isomorphisms of $AC(σ)$ spaces for countable sets, http://dx.doi.org/10.1007/978-3-319-75996-8_11

Blower G; Doust I, 2015, Operational calculus and integral transforms for groups with finite propagation speed, http://dx.doi.org/10.1515/apam-2015-0049

Blower G; Brett C; Doust I, 2014, Hill's Spectral Curves and the Invariant Measure of the Periodic KdV Equation, http://dx.doi.org/10.48550/arxiv.1409.8494

Doust I; Sánchez S; Weston A, 2014, A direct proof that $\ell_\infty^{(3)}$ has generalized roundness zero, http://dx.doi.org/10.1016/j.exmath.2014.06.001

Doust I; Leinert M, 2013, Isomorphisms of $AC(σ)$ spaces, http://arxiv.org/abs/1312.2304v1

Doust I; Leinert M, 2013, Isomorphisms of $AC(\sigma)$ spaces, http://dx.doi.org/10.48550/arxiv.1312.2304

Doust I; Leinert M, 2013, Approximation in $AC(σ)$, https://www.researchgate.net/publication/259211398_Approximation_in_ACsigma

Blower G; Brett C; Doust I, 2013, Logarithmic Sobolev inequalities and spectral concentration for the cubic Schrödinger equation, http://arxiv.org/abs/1308.3649v2

Doust I; Sánchez S; Weston A, 2013, The asymptotic enhanced negative type of finite ultrametric spaces, http://arxiv.org/abs/1308.1185v3

Caffarelli E; Doust I; Weston A, 2010, Metric trees of generalized roundness one, http://dx.doi.org/10.48550/arxiv.1008.3418

Ashton B; Doust I, 2008, Compact $AC(\sigma)$ operators, http://dx.doi.org/10.48550/arxiv.0807.1052

Doust I; Terauds V, 2008, Extensions of an $AC(\sigma)$ functional calculus, http://dx.doi.org/10.48550/arxiv.0803.2131

Doust I; Weston A, 2007, Enhanced negative type for finite metric trees, http://dx.doi.org/10.48550/arxiv.0705.0411

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