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Mathematics & Statistics

Analysis
(Leader: Prof. Boris Shekhtman )

Friday, April 15, 2005

Title
Speaker
Time
Place

Absolute Minimizers on Carnot Groups
Thomas Bieske
5:00pm-6:00pm
PHY 120

Abstract

Aronsson (1967) first considered the problem of canonically extending a Lipschitz function on the boundary of a domain in \(\mathbb{R}^n\) 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.

Friday, February 25, 2005

Title
Speaker

Time
Place

Generalizations of Chebyshev Polynomials and Polynomial Mappings
James Griffin
University of Central Florida
5:00pm-6:00pm
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.

Friday, February 18, 2005

Title
Speaker
Time
Place

How come \(1+1=3\)?
Wen-Xiu Ma
5:00pm-6:00pm
PHY 120

Friday, February 11, 2005

Title
Speaker

Time
Place

Plancherel-Rotach asymptotics for \(q\)-orthogonal polynomials and a \(q\)-Airy function
Mourad Ismail
University of Central Florida
5:00pm-6:00pm
PHY 120

Friday, February 4, 2005

Title
Speaker
Time
Place

Algebra of Approximation: Introductory overview
Boris Shekhtman
5:00pm-6:00pm
PHY 120

Abstract

This seems to be a hot new topic with many possibilities for interesting discoveries in Analysis and Algebraic Geometry.