JM Anderson, PhD, DSc
Emeritus Professor

Lacunary functions often behave like random walks in the plane so probabilistic methods throw light on the recurrence or transient properties.  A particular problem is the extent to which lacunary entire functions must have their zeros in large pits.

Quasiconformal mappings are generalizations of conformal mappings where infinitesimal circles get mapped onto infinitesimal ellipses of bounded eccentricity.  Problems arise when one wants to minimise this eccentricity while preserving some boundary conditions.

Spaces of functions analytic in the unit disc D offer many connections between complex analysis and operator theory.  It is particularly important to study the boundary behaviour of such functions as this determines their properties as spaces on which operators can act.

This page was last modified on April 15, 2011 by Helen Higgins