ANALYSIS AND MATHEMATICAL PHYSICS | |

Topic: | A New Approach to Universality Limits Involving Orthogonal Polynomials |

Speaker: | Doron Lubinsky |

Affiliation: | Georgia Institute of Technology |

Date: | Monday, November 20 |

Time/Room: | 1:30pm - 2:30pm/S-101 |

We present a new approach to some of the universality limits that arise in orthogonal polynomials. For example, we show that if w is a fixed weight positive a.e. in [-1,1], and w satisfies a Dini condition in some subinterval of (-1,1), then there is the uniform universality limit in that subinterval. If we assume no smoothness, but only that w is bounded below in some subinterval, then the universality limit holds in an L1 sense.