| Speaker | Thomas Bieske |
| Topic | Absolute Minimizers on Carnot Groups |
| Time | 5:00-6:00 p.m. |
| Place | PHY 120 |
Abstract
Aronsson (1967) first considered the problem of canonically extending a Lipschitz function on the boundary of a domain in Rn into the whole domain without raising the Lipschitz constant. This problem was solved by R. Jensen (1993). We consider the same problem in a class of non-abelian groups, called Carnot groups, which are also non-isotropic metric spaces.
In addition, properties of such minimizers are discussed.
| Speaker | James Griffin University of Central Florida |
| Topic | Generalizations of Chebyshev Polynomials and Polynomial Mappings |
| Time | 5:00-6:00 p.m. |
| Place | PHY 120 |
Abstract
Generalized Chebyshev Polynomials orthogonal on two disjoint intervals have a representation in terms of elliptic functions. I will present the general case on several intervals and discuss their application to inverse images of a single interval under a polynomial mapping. I will also discuss some recent results on further generalizations of the classical orthogonal polynomials to the several interval case.
| Speaker | Wen-Xiu Ma |
| Topic | How come 1 + 1 = 3? |
| Time | 5:00-6:00 p.m. |
| Place | PHY 120 |
| Speaker | Mourad Ismail |
| Topic | Plancherel-Rotach asymptotics for q-orthogonal polynomials and a q-Airy function |
| Time | 5:00-6:00 p.m. |
| Place | PHY 120 |
| Speaker | Boris Shekhtman |
| Topic | Algebra of Approximation: Introductory overview |
| Time | 5:00-6:00 p.m. |
| Place | PHY 120 |
Abstract
This seems to be a hot new topic with many possibilities for interesting discoveries in Analysis and Algebraic Geometry.
Please direct questions to mthmaster@nosferatu.cas.usf.edu.
Last updated: 2005-04-18.
Copyright © 2000, USF Department of Mathematics.