Full rank filters and polynomial reproduction

Mariantonia Cotronei; Tomas Sauer

doi:10.3934/cpaa.2007.6.667

Article Contents

2007, Volume 6, Issue 3: 667-687. Doi: 10.3934/cpaa.2007.6.667

This issue Previous Article Fast numerical collocation solutions of integral equations Next Article Analysis of optimal bivariate symmetric refinable Hermite interpolants

Full rank filters and polynomial reproduction

Mariantonia Cotronei^1, and
Tomas Sauer^2,

1.
DIMET, Universita degli Studi “Mediterranea” di Reggio Calabria, Via Graziella, I–89066 Reggio Calabria
2.
Lehrstuhl für Numerische Mathematik, Justus–Liebig–Universität Gieβen, Heinrich–Buff–Ring 44, D–35392 Gieβen

Received: April 2006

Revised: January 2007

Published: August 2007

Abstract Related Papers Cited by

Abstract

We study polynomial (re)production properties of full rank stationary subdivision schemes and develop characterizations that are almost identical to the scalar case. Moreover, we give a version of the Strang--Fix conditions for the integer translates of a matrix valued function whose columns are linearly independent.

Keywords:

Mathematics Subject Classification: Primary: 65T60, 41A25; Secondary: 65D17.

Citation:

Article Metrics

HTML views() PDF downloads(78) Cited by(0)

Full rank filters and polynomial reproduction

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Full rank filters and polynomial reproduction

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content