Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/103149
DC FieldValue
dc.titleDistributional solutions of nonhomogeneous discrete and continuous refinement equations
dc.contributor.authorRong-Qing, J.
dc.contributor.authorJiang, Q.
dc.contributor.authorShen, Z.
dc.date.accessioned2014-10-28T02:33:52Z
dc.date.available2014-10-28T02:33:52Z
dc.date.issued2000
dc.identifier.citationRong-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.
dc.identifier.issn00361410
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103149
dc.description.abstractDiscrete 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.
dc.sourceScopus
dc.subjectDiscrete and continuous refinement equations
dc.subjectExistence
dc.subjectNonhomogeneous
dc.subjectUniqueness
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.sourcetitleSIAM Journal on Mathematical Analysis
dc.description.volume32
dc.description.issue2
dc.description.page420-434
dc.identifier.isiutNOT_IN_WOS
Appears in Collections:Staff Publications

Show simple item record
Files in This Item:
There are no files associated with this item.

Page view(s)

52
checked on May 2, 2021

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.