Multiwavelets on the interval and divergence-free wavelets
Joseph D. Lakey, María Cristina Pereyra · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1999
This manuscript gives a construction of divergence-free multiwavelets which combines the Hardin-Marasovich (HM) construction with a recipe of Strela for increasing or decreasing regularity of biorthogonal wavelets. Strela's process preserves symmetry of the HM wavelets. This enables the divergence-free wavelets to be suitably adapted to the analysis of divergence-free vector fields whose boundary traces are tangent vectors.