Abstract
In what follows, we present tensor-product divergence-free and curl-free wavelets, and we define associated projectors. These projectors permit the construction of an iterative algorithm for the computation of the Helmholtz decomposition in terms of wavelets. This Helmholtz decomposition is localized in space, in contrast to a Helmholtz decomposition calculated by the Fourier transform. Finally, we show the convergence of the algorithm in 2 and 3 dimensions for the particular case of Shannon wavelets.
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