# Mitja Nedić: Supports of Borel measures in the plane satisfying a certain positivity condition

Title: Supports of Borel measures in the plane satisfying a certain positivity condition.

Abstract: Certain Borel measures in the plane appear as representing parameters for classes of holomorphic functions with non-negative real or imaginary part. Such measures must satisfy a positivity condition which constitutes a severe restriction within the set of Borel measures. In this talk, we will present how the positivity condition that characterizes representing measures of holomorphic functions of two variables with non-negative imaginary part restricts the support of these measures. For example, we will present some subsets of the plane that cannot contain the support of such measures. We will also discuss how these results relate to certain classes of measures on the unit polytorus. This talk is based on joint work with Annemarie Luger.

Seminar bo v predavalnici 3.06 na Jadranski 21. Vljudno vabljeni!

Vodji seminarja

Franc Forstnerič in Barbara Drinovec Drnovšek