Divergence-free vector wavelets. (English) Zbl 0798.42022

Battle, Guy; Federbush, Paul

Mich. Math. J. 40, No. 1, 181-195 (1993).

For any positive integer \(N\) the authors construct a divergence-free wavelet orthonormal basis in three-dimensional vector fields with vanishing divergence, where wavelets belong to the class \(C^ N\) and have exponential decay.

Reviewer: M.Berkolajko (Voronezh)

MSC:

42C40	Nontrigonometric harmonic analysis involving wavelets and other special systems
46E40	Spaces of vector- and operator-valued functions

Keywords:

divergence-free wavelet orthonormal basis; three-dimensional vector fields