Jerusalem Analysis Seminar - Avner Kiro (TAU) "On Taylor coefficients of smooth functions."

The talk will be about two problems in the theory of Beurlingand Carleman classes of smooth functions.
The first one is to describe the image of a Beurling or Carleman class underBorel's map ( whichmaps infinitely differentiable functions  to the jets of their Taylorcoefficients at a given point). 
The second one is  how to construct a function inBeurling  or Carleman class with prescribed Taylor coefficients.
In the talk, I will present  solutions to both problems in some Beurlingand Carleman classes (both quasianalytic and non-quasianalytic).

Date: 

Wed, 17/01/2018 - 12:00 to 13:00