İstanbul Analysis Seminars

Transfinite Diameter and Polya Theorem in Several Complex Variables
Vyacheslav Zakharyuta
Sabancı University, Turkey
Özet : Multivariate analogues of two classical results will be considered: first, the Fekete Theorem on the coincidence of transfinite diameter and Chebyshev constant for any compact set in C; second, the Polya Theorem on the asymptotic estimate of Hankel determinants, generated by Taylor coefficients of a function analytic at the infinity, in terms of the trans- finite diameter of any compact set, which contains all singularities of the function. We give a detailed analysis of the main steps in the proofs of these analogues. Some open problems will be discussed.
  Tarih : 17.02.2017
  Saat : 15:40
  Yer : Sabancı University, Karaköy Communication Center, Bankalar Caddesi 2, Karaköy
  Dil : English