3 papers
math.CV2020
Sharp Estimates for Blowing Down Functions in a Denjoy-Carleman Class
André Belotto da Silva, Edward Bierstone, Avner Kiro
If F is an infinitely differentiable function whose composition with a blowing-up belongs to a Denjoy-Carleman class C_M (determined by a log convex sequence M=(M_k)), then F, in g…
math.PR2018
Rigidity for zero sets of Gaussian entire functions
Avner Kiro, Alon Nishry
In this note we consider a certain class of Gaussian entire functions, characterized by some asymptotic properties of their covariance kernels, which we call admissible (as defined…
math.CA2018
On Taylor coefficients of smooth functions
Avner Kiro
We study the Borel map, which maps infinitely differentiable functions on an interval to the jets of their Taylor coefficients at a given point in the interval. Our main results in…