The Dunkl transform is a sophisticated generalisation of the classical Fourier transform, incorporating differential‐difference operators that are defined in relation to reflection groups. This ...

The differential operator ring S = R[ x; δ ] can be embedded in A1(R), the first Weyl algebra over R, where R is a Q-algebra and δ is a locally nilpotent derivation on R. Furthermore A1(R) is again a ...

We provide a new analytical approach to operator splitting for equations of the type u t = Au + uu x where A is a linear differential operator such that the equation is well-posed. Particular examples ...