Event Details
"Quantization" of a certain problem on Fourier series
Presenter: Dr. Ivo Klemes - Department of Mathematics, McGill University
Supervisor:
Date: Thu, November 28, 2002
Time: 16:00:00 - 00:00:00
Place: Clearihue D-131
ABSTRACT
ABSTRACT:
Algebraic operations with ordinary Fourier series originally motivated Heisenberg to "rediscover" matrix algebra and to use it to treat certain physical problems for which Fourier series were inadequate. This was done by guessing matrix (or operator) valued versions of classical equations that involved just real-valued functions. (The guessing procedure is nowadays referred to as "quantization".) In this talk we solve a certain problem on Fourier series by guessing a finite matrix version of the problem, solving that problem, then recovering the original problem as the size of the matrix tends to infinity. (Thereby showing that quantization can be useful even in pure mathematics!) We will also state some open problems. Graduate students are welcome to attend.
There will be refreshments served at 3:30 p.m. in Clearihue D-131 prior to the colloquium.