33 citations · 72 across the 28 of their papers we have counts for
5 papers · 1 filter
Isomorphisms of spaces
Ian Doust, Michael Leinert
Analogues of the classical Banach-Stone theorem for spaces of continuous functions are studied in the context of the spaces of absolutely continuous functions introduced by Ashton…
Approximation in
Ian Doust, Michael Leinert, Alan Stoneham
For a nonempty compact subset in the plane, the space is the closure of the space of complex polynomials in two real variables under a particular variation norm. In the…
Logarithmic Sobolev inequalities and spectral concentration for the cubic Schrödinger equation
Gordon Blower, Caroline Brett, Ian Doust
The nonlinear Schrödinger equation NLSE(p, β), -iu_t=-u_{xx}+β| u|^{p-2} u=0, arises from a Hamiltonian on infinite-dimensional phase space \Lp^2(\mT). For p\leq 6, Bourgain (Comm.…
The asymptotic enhanced negative type of finite ultrametric spaces
Ian Doust, Stephen Sánchez, Anthony Weston
Negative type inequalities arise in the study of embedding properties of metric spaces, but they often reduce to intractable combinatorial problems. In this paper we study more qua…
Functional calculus on Venturi for Groups with Finite Propagation Speed
Gordon Blower, Ian Doust
Let be a complete Riemannian manifold with Ricci curvature bounded below and Laplace operator . The paper develops a functional calculus for the cosine family $\cos(…