Algorithms for Wavelet Decomposition of of the Space of Hermite Type Splines
- Autores: Dem’yanovich Y.1
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Afiliações:
- St. Petersburg State University
- Edição: Volume 242, Nº 1 (2019)
- Páginas: 133-148
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242959
- DOI: https://doi.org/10.1007/s10958-019-04470-z
- ID: 242959
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Resumo
For the space of (not necessarily polynomial) Hermite type splines we develop algorithms for constructing the spline-wavelet decomposition provided that an arbitrary coarsening of a nonuniform spline-grid is a priori given. The construction is based on approximate relations guaranteeing the asymptotically optimal (with respect to the N-diameter of standard compact sets) approximate properties of this decomposition. We study the structure of restriction and extension matrices and prove that each of these matrices is the one-sided inverse of the transposed other. We propose the decomposition and reconstruction algorithms consisting of a small number of arithmetical actions.
Sobre autores
Yu. Dem’yanovich
St. Petersburg State University
Autor responsável pela correspondência
Email: y.demjanovich@spbu.ru
Rússia, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504