Positivity aspects of the Fantappie transform

Abstract: The Fantappie transform of an analytic
functional in C^n is one of the oldest, simplest and most
important integral operators in the theory of functions
of several complex variables. 

I will describe a new 
interpretation of the Fantappie transform, based on Hilbert
space techniques. In particular, a new proof of Martineau's
duality theorem will be given. The characterization of the
Fantapie transforms of positive measures will be presented in the
second part of the talk. No advanced knowledge of function theory
is needed.

Based on joint work with John McCarthy.