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.
Se consideran esquemas de subdivisión vectorial estacionaria, esto es, esquemas que actúan sobre sucesiones vectoriales usando una máscara matricial y se generaliza la conocida "condición del cero" a un número arbitrario de variables así como a matrices de dilatación expansivas arbitrarias.
@article{urn:eudml:doc:41632,
title = {Stationary vector subdivision: quotient ideals, differences and approximation power.},
journal = {RACSAM},
volume = {96},
year = {2002},
pages = {257-277},
mrnumber = {MR1968137},
zbl = {1057.42029},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41632}
}
Sauer, Thomas. Stationary vector subdivision: quotient ideals, differences and approximation power.. RACSAM, Tome 96 (2002) pp. 257-277. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41632/