Department of Mathematics
Texas A & M - Commerce
Student/Faculty Colloquium
Tuesday, February 13, 2007
Binnion 301, 2:00pm
Suat Namli,
LSU math department,
will speak on:
Multiplicative Renormalization Method for Orthogonal Polynomials
Abstract:
We use an idea from white noise analysis for the study of orthogonal
polynomials. We demonstrate an alternative to the classical
Gram-Schmidt process to find the orthogonal polynomials for a given
measure, with motivation from infinite dimensional white noise
analysis. Instead of
finding the orthogonal polynomials recursively as described in the
Gram-Schmidt process, we analyze different types of generating
functions systematically and come up with polynomials after power
expansion. This work also produces the Jacobi-Szego parameters easily
and hence one can work on the one-mode Interacting Fock Space related
to these parameters. We have verified the classical measures and
corresponding orthogonal polynomials and we found some new measures
which generalize the Wigner distributions