Speaker: Leonid Faybusovich

Title: Cones of trigonometric polynomials

Abstract:

We describe in detail an additive structure of cones of trigonometric polynomials nonnegative on the union of finite number of pairwise disjoint segments on the unit circle. We derive new descriptions of these cones in terms of semidefinite constraints. We explain in detail the results of M. Krein and A. Nudelman providing a description of dual cones in terms of the same type of constraints.