The notion of non-orthogonal multi-resolution analysis and its compatibility with differentiation (as expressed by the commutation formula) lead us to the construction of a multi-resolution analysis of which is well adapted to the approximation of divergence-free vector functions. Thus, we obtain unconditional bases of compactly supported divergence-free vector wavelets.
Cite this article
Pierre Gilles Lemarié-Rieusset, Analyses multi-résolutions non orthogonales, commutation entre projecteurs et derivation et ondelettes vecteurs à divergence nuIIe. Rev. Mat. Iberoam. 8 (1992), no. 2, pp. 221–237DOI 10.4171/RMI/123