Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/103149
Title: Distributional solutions of nonhomogeneous discrete and continuous refinement equations
Authors: Rong-Qing, J.
Jiang, Q. 
Shen, Z. 
Keywords: Discrete and continuous refinement equations
Existence
Nonhomogeneous
Uniqueness
Issue Date: 2000
Citation: Rong-Qing, J.,Jiang, Q.,Shen, Z. (2000). Distributional solutions of nonhomogeneous discrete and continuous refinement equations. SIAM Journal on Mathematical Analysis 32 (2) : 420-434. ScholarBank@NUS Repository.
Abstract: Discrete and continuous refinement equations have been widely studied in the literature for the last few years, due to their applications to the areas of wavelet analysis and geometric modeling. However, there is no "universal" theorem that deals with the problem about the existence of compactly supported distributional solutions for both discrete and continuous refinement equations simultaneously. In this paper, we provide a uniform treatment for both equations. In particular, a complete characterization of the existence of distributional solutions of nonhomogeneous discrete and continuous refinement equations is given, which covers all cases of interest. © 2000 Society for Industrial and Applied Mathematics.
Source Title: SIAM Journal on Mathematical Analysis
URI: http://scholarbank.nus.edu.sg/handle/10635/103149
ISSN: 00361410
Appears in Collections:Staff Publications

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