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We study many properties of level-dependent Hermite subdivision, focusing onschemes preserving polynomial and exponential data. We specifically considerinterpolatory schemes, which give rise to level-dependent multiresolutionanalyses through a prediction-correction approach. A result on the decay of theassociated multiwavelet coefficients, corresponding to a uniformly continuousand differentiable function, is derived. It makes use of the approximation ofany such function with a generalized Taylor formula expressed in terms ofpolynomials and exponentials.

Level-dependent interpolatory Hermite subdivision schemes and wavelets