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The aim of the paper is to present Hermite-type multiwavelets satisfying thevanishing moment property with respect to elements in the space spanned byexponentials and polynomials. Such functions satisfy a two-scale relation whichis level-dependent as well as the corresponding multiresolution analysis. Animportant feature of the associated filters is the possibility of factorizingtheir symbols in terms of the so-called cancellation operator. A family ofbiorthogonal multiwavelet system possessing the above property and obtainedfrom a Hermite subdivision scheme reproducing polynomial and exponential datais finally introduced.

A note on Hermite multiwavelets with polynomial and exponential vanishing moments