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We investigate properties of differential and difference operatorsannihilating certain finite-dimensional subspaces of exponential functions intwo variables that are connected to the representation of real-valuedtrigonometric and hyperbolic functions. Although exponential functions appearin a variety of contexts, the motivation behind this work comes fromconsidering subdivision schemes with the capability of preserving thoseexponential functions required for an exact description of surfacesparametrized in terms of trigonometric and hyperbolic functions.

Annihilation Operators for Exponential Spaces in Subdivision