Campuses:

Cauchy integrals

Friday, June 1, 2012 - 11:00am - 12:00pm
Loredana Lanzani (University of Arkansas)
The classical Cauchy integral is a fundamental object of complex analysis whose
analytic properties are intimately related to the geometric properties of its supporting curve.

In this talk I will begin by reviewing the most relevant features of the classical Cauchy integral.
I will then move on to the (surprisingly more involved) construction of the Cauchy integral for
a hypersurface in Euclidean complex space.

I will conclude by presenting new results joint with E. M. Stein
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