Differential-Difference Operators Associated to Reflection Groups
Differential-Difference Operators Associated to Reflection Groups
There is a theory of spherical harmonics for measures invariant under a finite reflection group. The measures are products of powers of linear functions, whose zero-sets are the mirrors of the reflections in the group, times the rotation-invariant measure on the unit sphere in ${{\mathbf {R}}^n}$. A commutative set of …