Stationary vector subdivision: quotient ideals, differences and approximation power.

Thomas Sauer

RACSAM (2002)

  • Volume: 96, Issue: 2, page 257-277
  • ISSN: 1578-7303

Abstract

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The paper considers stationary vector subdivision schemes, that is, subdivision schemes acting on vector valued sequences by using a matrix valued mask, and derives the analog of the well-known "zero condition" for an arbitrary number of variables as well as arbitrary expanding dilation matrices.

How to cite

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Sauer, Thomas. "Stationary vector subdivision: quotient ideals, differences and approximation power.." RACSAM 96.2 (2002): 257-277. <http://eudml.org/doc/41632>.

@article{Sauer2002,
abstract = {The paper considers stationary vector subdivision schemes, that is, subdivision schemes acting on vector valued sequences by using a matrix valued mask, and derives the analog of the well-known "zero condition" for an arbitrary number of variables as well as arbitrary expanding dilation matrices.},
author = {Sauer, Thomas},
journal = {RACSAM},
keywords = {Esquemas de subdivisión; Espacios de funciones; Ideales; stationary subdivision; difference operators; quotient ideals; refinable functions},
language = {eng},
number = {2},
pages = {257-277},
title = {Stationary vector subdivision: quotient ideals, differences and approximation power.},
url = {http://eudml.org/doc/41632},
volume = {96},
year = {2002},
}

TY - JOUR
AU - Sauer, Thomas
TI - Stationary vector subdivision: quotient ideals, differences and approximation power.
JO - RACSAM
PY - 2002
VL - 96
IS - 2
SP - 257
EP - 277
AB - The paper considers stationary vector subdivision schemes, that is, subdivision schemes acting on vector valued sequences by using a matrix valued mask, and derives the analog of the well-known "zero condition" for an arbitrary number of variables as well as arbitrary expanding dilation matrices.
LA - eng
KW - Esquemas de subdivisión; Espacios de funciones; Ideales; stationary subdivision; difference operators; quotient ideals; refinable functions
UR - http://eudml.org/doc/41632
ER -

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