Applications of filter coefficients and wavelets parametrized by moments

Key words. Orthonormal wavelets, parametrized filter coefficients, moments, regu larity, H¨older andSobolev exponent, least asymmetric filters, rational filter coefficients.AMS classification. 42C40, 65T60, 94A12, 68W301 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1912 Wavelets and moments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1923 Parametrizations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1944 Regularity of scaling functions and wavelets . . . . . . . . . . . . . . . . . . . . . . . 2015 Least asymmetric filters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2066 Rational filter coefficients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 209Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211

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