Monday Analysis Seminar: Cauchy-Stieltjes families with polynomial variance functions

2017-12-4 16:30 - 2017-12-4 18:00
Faculty of Science Building #3 Room 210
Wojciech Młotkowski (Wrocław University, Poland)
We study variance functions of the Cauchy-Stielties kernel (CSK) families generated by compactly supported centered probability measures. We describe several operations that allow to construct additional variance functions from known ones. We also construct a class of examples which we believe exhausts all cubic variance functions, and provide other examples of polynomial variance functions. (Joint work with Wlodzimierz Bryc (University of Cincinnati) and Raouf Fakhfakh (Sfax University, Tunisia))

Monday Analysis Seminar