Smoothness of Nonlinear and Non-Separable Subdivision Schemes

Details Smoothness of Nonlinear and Non-Separable Subdivision Schemes Smoothness of Nonlinear and Non-Separable Subdivision Schemes

2010-02-03

arxiv.org/abs/1002.0853v1

Mathematics

Numerical Analysis

Scientific paper

We study in this paper nonlinear subdivision schemes in a multivariate setting allowing arbitrary dilation matrix. We investigate the convergence of such iterative process to some limit function. Our analysis is based on some conditions on the contractivity of the associated scheme for the differences. In particular, we show the regularity of the limit function, in $L^p$ and Sobolev spaces.

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