LisMath Seminar 

13/05/2020, 17:00 — 18:00 — Online
Rodrigo Duarte, LisMath, Instituto Superior Técnico, Universidade de Lisboa

Polar Functions and Measure Transitions

In this talk we will discuss several properties of polar functions. These are functions that exhibit some kind of positive or negative definiteness. In particular, it is known that these functions are characterized as an integral transformation of a unique measure in maximal strips of the complex plane. The only restriction to the size of these strips are the singularities of the function. However, if the function is polar on either side of a pole then the respective measures are related. The goal of this talk is to explain this relation.

Bibliography:

[1] J. Buescu, A.C. Paixão.The Measure Transition Problem for Meromorphic Polar Functions. Submitted, 2019.

See also

Polar functions talk.pdf