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.
|Titolo:||Level-dependent interpolatory Hermite subdivision schemes and wavelets|
|Data di pubblicazione:||2019|
|Appare nelle tipologie:||1.1 Articolo in rivista|