2019
Nov
20

# Analysis Seminar: Genadi Levin "The Cauchy transform that vanishes outside a compact"

12:00pm to 1:00pm

## Location:

Ross 70

Title: The Cauchy transform that vanishes outside a compact.

Abstract: The Cauchy transform of a complex finite compactly supported measure on the plane is its convolution with the Cauchy kernel.

The classical F. and M. Riesz theorem asserts that if the Cauchy transform of a measure $\mu$ on the unit circle

vanishes off the closed unit disk then $\mu$ is absolutely continuous w.r.t. the arc measure on the unit circle.

Motivated by an application in holomorphic dynamics we present a certain generalization of this Riesz theorem