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Decomposition and reconstruction algorithms for nested spaces of multivariate trigonometric polynomials are described. The scaling functions of these spaces are chosen as fundamental polynomials of Lagrange interpolation. Their properties are crucial for the approach presented here. In particular, FFT-algorithms can be used efficiently.
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This page is a summary of: Multivariate trigonometric wavelet decompositions, Computers & Mathematics with Applications, September 1995, Elsevier,
DOI: 10.1016/0898-1221(95)00094-1.
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