Monday, September 24
Davidson Lecture
Hall at Claremont McKenna, 4:15 PM
Title: A matrix analog of Fejer's theorem on positive trigonometric polynomials and some possible number theoretic connections
Abstract: Fejer's classical theorem states that a positive Cosine polynomial is the square of the modulus of another trig polynomial. One application is to the proof of a theorem of Van der Corput on uniform distribution of sequences (mod 1). We will discuss a genrealization of Fejer's theorem to the matrix setting due to Helson and Lowdenslager and begin to look for possible generalizations of the application to Van der Corput's theorem.