Approximation Theory/
Analysis
(Leader: Prof. V. Totik)
Wednesday, April 17, 2002
| Topic |
Reproducing Kernels and Integral Operators Involving Orthogonal
Polynomials |
| Speaker |
Mourad Ismail |
| Time |
4:00-5:00 p.m. |
| Place |
PHY 120 |
Wednesday, April 10, 2002
| Topic |
Products of Random Matrices: Limit Distributions |
| Speaker |
Arunava Mukherjea |
| Time |
3:00-4:00 p.m. |
| Place |
PHY 120 |
Abstract
The subject of this talk is weak convergence for products of d x
d random matrices. Approximation through measures with finite support
will be useful. Connection with a classical (still open) problem of Erdös
will be pointed out.
Wednesday, March 20, 2002
| Topic |
Interpolation in 3D |
| Speaker |
Boris Shekhtman |
| Time |
3:00-4:00 p.m. |
| Place |
PHY 108 |
Wednesday, March 6, 2002
| Topic |
The Stieltjes-Wigert Moment Problem |
| Speaker |
Jacob Christiansen |
| Time |
3:00-4:00 p.m. |
| Place |
PHY 120 |
Abstract
The very first examples of indeterminate moment problems were given by Stieltjes
in his famous memoir from 1894-95. For instance, he pointed out that the density
of the log-normal distribution belongs to an indeterminate moment problem and
the corresponding orthogonal polynomials were found by Wigert in 1923. In a
paper from 1970, Chihara observed that the log-normal density satisfy a simple
functional equation. Our starting point will be the functional equation $f(xq)=xf(x)$,
$x>0$. We construct a transformation of the set of solutions which has all the
classical solutions as fixed points, but not the co-called $N$-extremal solution.
The iterated action of this transformation starting at a certain $N$-extremal
solution can be found explicitly. In the limit one ends up with two well-known
solutions found by Berg in 1998, and this result brings the Nevalinna parametrization
into focus.
Tuesday, February 12, 2002
| Topic |
Zeros of Bergman Orthogonal Polynomials |
| Speaker |
Dr. Viktor Maymeskul
Vanderbilt University |
| Time |
3:00-4:00 p.m. |
| Place |
PHY 108 |
Wednesday, February 6, 2002
| Topic |
Soliton, Positon and Complexiton Solutions to the KdV Equation |
| Speaker |
Dr. Wen-Xiu Ma |
| Time |
3:00-4:00 p.m. |
| Place |
PHY 120 |
Wednesday, January 30, 2002
| Topic |
Interpolating Spaces and Topology of Manifolds |
| Speaker |
Professor Boris Shekhtman |
| Time |
3:00-4:00 p.m. |
| Place |
PHY 120 |
Wednesday, January 16, 2002
| Topic |
Polynomial inverse images, or how to transfer results from
one interval to compact sets |
| Speaker |
Professor Vilmos Totik |
| Time |
3:00-4:00 p.m. |
| Place |
PHY 120 |
Please direct questions to mthmaster@nosferatu.cas.usf.edu.
Last updated: 2002-04-15.
Copyright © 2000, USF Department of Mathematics.