February Fourier Talks 2010

Norbert Wiener Distinguished Lecture

Elias Stein


Singular integrals, old and new


We shall discuss two problems suggested by several complex variables that require a rethinking of the classical Calderon-Zygmund paradigm. The first is that of finding the analogue of the Lp theory for the Cauchy integral for minimally smooth domains in several variables. The second is the study of a natural algebra of operators containing both the standard pseudo-differential operators and the singular integrals of Heisenberg-group type.