Annihilation operators for exponential spaces in subdivision

We investigate properties of differential and difference operators annihilating certain finite-dimensional spaces exponential functions in two variables that are connected to the representation real-valued trigonometric hyperbolic functions. Although appear a variety contexts, motivation behind this technical note comes from considering subdivision schemes where annihilation play an important role. Indeed, with capability preserving can be used obtain exact description surfaces parametrized terms functions, useful automatically detect frequencies such