# Beurling's method in the theory of quasianalytic functions

Seminar
Speaker
Avner Kiro, Tel-Aviv University
Date
17/11/2014–03 - 23:00 - 14:00Add to Calendar 2014-11-03 14:00:00 2014-11-17 23:00:00 Beurling's method in the theory of quasianalytic functions The talk is will be devoted to two  questions in the theory of quasianalytic   Carleman classes. The first one is how to describe the image of a quasianalytic  Carleman class under Borel's map $f\to\{f^{(n)}(0)/n!\}_{n\geq 0}$ ?     The second one is how to sum the formal Taylor series of functions  in quasianalytic Carleman classes? In the talk, I will present a method of Beurling that gives a solution to both of the problems for some quasianalytic Carleman classes. If time permits, I will also discuss the image problem in some non-quasianalytic classes. אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Abstract

The talk is will be devoted to two  questions in the theory of quasianalytic
Carleman classes. The first one is how to describe the image of a quasianalytic
Carleman class under Borel's map $f\to\{f^{(n)}(0)/n!\}_{n\geq 0}$ ?
The second one is how to sum the formal Taylor series of functions  in quasianalytic Carleman classes? In the talk, I will present a method of Beurling that gives a solution to both of the problems for some quasianalytic Carleman classes. If time permits, I will also discuss the image problem in some non-quasianalytic classes.

תאריך עדכון אחרון : 17/11/2014