Browsing by Subject "Potential theory (Mathematics)"

Now showing items 1-3 of 3

Existence of universal Taylor series for non-simply connected domains

Gardiner, Stephen J. (Springer-Verlag, 2012-05-27)

It is known that, for any simply connected proper subdomain Ω of the complex plane and any point ζ in Ω, there are holomorphic functions on Ω that possess “universal” Taylor series expansions about ζ; that is, partial sums ...
Recent progress on fine differentiability and fine harmonicity

Gardiner, Stephen J. (American Mathematical Society, 2012-12-15)

This paper describes recent results concerning the notions of differentiability and harmonicity with respect to the ne topology of classical potential theory.
Sets of determination for the Nevanlinna class

Gardiner, Stephen J. (London Mathematical Society, 2010-11-06)

This paper characterizes the subsets E of the unit disc D with the property that the supremum of |f| over E equals the supremum over D for all functions f in the Nevanlinna class.