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Wavelets, splines and divergence-free vector functions. (English) Zbl 0747.41007
Approximation theory, spline functions and applications, Proc. NATO Adv. Study Inst., Maratea/Italy 1991, NATO ASI Ser., Ser. C 356, 381-390 (1992).
[For the entire collection see Zbl 0741.00080.]
The author deals a little with “classical wavelet theory” — namely the orthogonal wavelet bases provided by the multi-resolution analysis scheme — and a little more with heretical wavelet theories, such as bi- orthogonal wavelets or the pre-wavelets of G. Battle. A very nice example of how to apply such heretical wavelets is given in the study of divergence-free vector wavelets.

MSC:
41A15 Spline approximation
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