The Fejer-Reisz Factorization Lemma,   Jeff Geronimo,   Georgia Institute of Technology,  Tue, 14 October, 2014,   10:00 a.m. A-229


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.