Lp Solutions of Refinement Equations
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 143-167 |
| Journal / Publication | Journal of Fourier Analysis and Applications |
| Volume | 7 |
| Issue number | 2 |
| Publication status | Published - 2001 |
Link(s)
Abstract
In the recent characterizations of the Lp solution of the refinement equation in terms of the "p-norm joint spectral radius," there are problems in choosing the initial function for iteration [3, 23], or in addition, requiring stability of the refinable function [13,17]. In this article we overcome these difficulties and give a more complete characterization of this nature. The criterion is constructive and can be implemented. It can be used to describe the regularity of the solution without assuming stability. This has significant advantages over the previous work. The corresponding results for vector refinement equations are also discussed.
Research Area(s)
- Joint spectral radii, Refinable functions, Refinement equations, Wavelets
Citation Format(s)
Lp Solutions of Refinement Equations. / Jia, Rong-Qing; Lau, Ka-Sing; Zhou, Ding-Xuan.
In: Journal of Fourier Analysis and Applications, Vol. 7, No. 2, 2001, p. 143-167.
In: Journal of Fourier Analysis and Applications, Vol. 7, No. 2, 2001, p. 143-167.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
