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arXiv · 1801.03123

Level-dependent interpolatory Hermite subdivision schemes and wavelets

Mariantonia Cotronei·Caroline Moosmüller·Tomas Sauer·Nada Sissouno
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Abstract

We study many properties of level-dependent Hermite subdivision, focusing on schemes preserving polynomial and exponential data. We specifically consider interpolatory schemes, which give rise to level-dependent multiresolution analyses through a prediction-correction approach. A result on the decay of the associated multiwavelet coefficients, corresponding to a uniformly continuous and differentiable function, is derived. It makes use of the approximation of any such function with a generalized Taylor formula expressed in terms of polynomials and exponentials.

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Mariantonia Cotronei, Caroline Moosmüller, Tomas Sauer, Nada Sissouno. 2018-01-09. Level-dependent interpolatory Hermite subdivision schemes and wavelets. https://arxiv.org/abs/1801.03123

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