Derives explicit hypergeometric representations and closed Mellin/Fourier transforms for scaling functions in C^0 orthogonal piecewise polynomial multiresolution analyses and introduces new examples with rational coefficients.
Daubechies, Ten Lectures on Wavelets, CBMS-NSF Regional Series in Applied Math, 61 SIAM, Philadelphia
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Compactly supported, orthogonal, continuous piecewise polynomial multiresolution analysis
Derives explicit hypergeometric representations and closed Mellin/Fourier transforms for scaling functions in C^0 orthogonal piecewise polynomial multiresolution analyses and introduces new examples with rational coefficients.