Lp Christoffel Function and Paley-Wiener Spaces

Analysis Seminar
Wednesday, October 17, 2012 - 14:00
1 hour (actually 50 minutes)
Skiles 005
Georgia Tech
Asymptotics for L2 Christoffel functions are a classical topic in orthogonal polynomials. We present asymptotics for Lp Christoffel functions for measures on the unit circle. The formulation involves an extremal problem in Paley-Wiener space. While there have been estimates of the Lp Christoffel functions for a long time, the asymptotics are noew for p other than 2, even for Lebesgue measure on the unict circle.