SMS scnews item created by Leo Tzou at Fri 17 Oct 2014 0909
Type: Seminar
Modified: Fri 17 Oct 2014 1415; Fri 17 Oct 2014 1416; Fri 17 Oct 2014 1419
Distribution: World
Expiry: 21 Nov 2015
Calendar1: 21 Nov 2014 1430-1530
CalLoc1: Carslaw 535
Auth: leo@ (ltzo2369) in SMS-WASM

Joint Colloquium

The Fejer-Reisz Factorization Lemma


Fri, 21/11/2014 - 2:30pm

(Carslaw Lect. 535, Sydney Uni)

Jeff Geronimo, Georgia Institute of Technology

The Fejer-Reisz Factorization Lemma

The Fejer-Reisz lemma which was proved in 1915 states that every positive trignometric polynomial can be written as a magnitude squared of a polynomial of the same degree. I will review this lemma and its applications. A two variable generalization will be discussed along with its connection to Toeplitz matrices. This talk will be accessible to a general audience.