  In this paper we present a construction of interpolatory Hermite
multiwavelets for functions that take values in nonlinear geometries such as
Riemannian manifolds or Lie groups. We rely on the strong connection between
wavelets and subdivision schemes to define a prediction-correction approach
based on Hermite subdivision schemes that operate on manifold-valued data. The
main result concerns the decay of the wavelet coefficients: We show that our
manifold-valued construction essentially admits the same coefficient decay as
linear Hermite wavelets, which also generalizes results on manifold-valued
scalar wavelets.
