Divergence-free wavelet bases on the hypercube
| Authors | |
|---|---|
| Publication date | 2011 |
| Journal | Applied and Computational Harmonic Analysis |
| Volume | Issue number | 30 | 1 |
| Pages (from-to) | 1-19 |
| Organisations |
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| Abstract | Given a biorthogonal pair of multi-resolution analyses on the interval, by integration or differentiation, we build a new biorthogonal pair of multi-resolution analyses. Using both pairs, isotropic or, as we focus on, anisotropic divergence-free wavelet bases on the hypercube are constructed. Our construction generalizes the one from [16] by P.G. Lemarie-Rieusset (1992) for stationary multi-resolution analyses on R. It turns out that it requires a specific choice of boundary conditions. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1016/j.acha.2010.01.007 |
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