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Divergence-free vector wavelets. (English) Zbl 0798.42022
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.

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