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@101.164.193.104 (ltzo2369) in SMS-WASM

Joint Colloquium

The Fejer-Reisz Factorization Lemma

Geronimo

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

Location:
(Carslaw Lect. 535, Sydney Uni)

Speaker:
Jeff Geronimo, Georgia Institute of Technology

Title:
The Fejer-Reisz Factorization Lemma

Abstract:
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.