University of Washington
A classical theorem of Fatou assures us that a bounded holomorphic function on the unit disc has boundary values-radial and even nontangential- at almost every point in the boundary. This theorem has been the motivation for many generalizations, e.g., to not necessarily bounded holomorphic or harmonic functions of several variables. In this lecture I shall discuss a new notion of boundary value that is applicable to a broad class of functions, functions that need not satisfy any differential equation.
Please join us for refreshments before the lecture at 2:30p.m. in room 353 Jabara Hall.
[ Spring 2001]