Title: Hilbert spaces based on complex Hermite polynomials, and related quantizations
Speaker: Prof. Jean-Pierre Gazeau Universit Paris-7 Denis Diderot France
Date: 13 December 2010
Time: 4:00-5:00 p.m.
Venue: Lecture Hall I, Department of Mathematics
I will report on the existence and properties of Hilbert spaces based on different families of complex, holomorphic or not, functions, like Hermite polynomials. The resulting coherent state quantizations of the complex plane will be presented. Some interesting issues will be examined, like the existence of the usual harmonic oscillator spectrum despite the absence of canonical commutation rules.