Differential Operators on $G(r,n)$-Invariant Functions

We generalize known results on normalized symmetric coordinates and their dual differential operators, established for the symmetric group, to the complex monomial reflection group $G(r,n):=μ_r\wr S_n$ (with $G(1,n)=S_n$). The central tool, proved in detail, is a \emph{transfer principle}: the subst