## Analysis and Probability Seminar

# The Fejer-Riesz factorization problem in two variables

## Jeff Geronimo (Georgia Tech)

### Friday, November 9, 2018
1:30 pm

MONT 313 (Storrs)

In 1915 Fejer and Riesz proved a Lemma showing that every positive trigonometric polynomial of degree n could be written as a magnitude square of an algebraic polynomial of degree n. I will discuss this result and then give a two variable extension. This is work with Plamen Iliev, Greg Knese, and Hugo Woerdeman.