 
Summary: COLLOQUIUM
University of Regina
Department of Mathematics & Statistics
Speaker: Dr. Edward Doolittle
University of Regina
Department of Mathematics & Statistics
Title: Inverting Variable Coefficient Linear Partial Differential
Operators
Date: Friday, March 03, 2006
Time: 3:30 p.m.
Place: Math & Stats Lounge (CW 307.20)
Abstract
The Fourier transform and its variants (pseudodifferential operators,
Fourier integral operators) have been used with great success to invert
constant coefficient linear partial differential operators (PDOs), elliptic
PDOs, and to study the associated heat and wave operators. However,
the Fourier transform has been of limited use in the study of the class
of variable coefficient linear PDOs known as hypoelliptic operators,
which have applications in several complex variables and the study of
magnetism in quantum mechanics. There are reasons to believe that
