Regularity of generalized Daubechies wavelets reproducing exponential polynomials
classification
🧮 math.NA
math.CA
keywords
waveletsdaubechiesconstructionnon-stationaryreproducingschemesubdivisionanalogous
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We investigate non-stationary orthogonal wavelets based on a non-stationary interpolatory subdivision scheme reproducing a given set of exponentials. The construction is analogous to the construction of Daubechies wavelets using the subdivision scheme of Deslauriers-Dubuc. The main result is the smoothness of these Daubechies type wavelets.
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