Passe-Partout
Passe-Partout
Mercredi 16
octobre, 14h
Center-Focus problem, Moments and Compositions
Yosef Yomdin
A review of the classical Center-Focus problem in qualitative
theory of Ordinary Differential Equations, and its recently found
relations with the Composition Algebra of univariate polynomials and
with generalized Moments will be given. The following special problem
will be discussed: find conditions for a polynomial q to be orthogonal
to all the positive powers of the polynomial P on the interval [0,1].