M 336

Dunkl operators are commuting differential-reflection operators on $\mathbb R^n$ which generalize the usual partial derivatives by additional reflection terms. They are associated with some underlying finite reflection group and its root system. Dunkl operators allow a rich harmonic analysis, including a generalization of the Fourier transform with many similar properties. In this talk, we give a basic introduction to Dunkl theory and explain some uncertainty principles related to them.

Margit Roesler

Paderborn