4 citations · 5 across the 5 of their papers we have counts for
5 papers · 1 filter
Tietze type extensions for absolutely continuous functions in the plane
Ian Doust, Alan Stoneham
It is an open problem whether one can always extend an absolutely continuous function (in the sense of Ashton and Doust) on a compact subset of the plane to a larger compact set. I…
Constructing Well-bounded Operators not of type (B) on a Class of Inductive Limits
Alan Stoneham
Well-bounded operators are linear operators on a Banach space that have an functional calculus for some interval . A well-bounded operator is of type (B) if it…
The Banach algebras and
Ian Doust, Michael Leinert, Alan Stoneham
The spaces and were introduced as part of a program to find a general theory which covers both well-bounded operators and trigonometrically well-bounded operators a…
Distance matrices of subsets of the Hamming cube
Ian Doust, Gavin Robertson, Alan Stoneham +1
Graham and Winkler derived a formula for the determinant of the distance matrix of a full-dimensional set of points in the Hamming cube…
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…