A Construction of Multiresolution Analysis on Interval

Authors
Chen, Di Rong Xiang, Dao Hong
Citation
Chen, Di Rong et Xiang, Dao Hong, A Construction of Multiresolution Analysis on Interval, Acta mathematica Sinica. English series (Print) , 23(4), 2007, pp. 705-710
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
4
Year of publication
2007
Pages
705 - 710
Database
ACNP
SICI code
Abstract
We present a concrete method of constructing multiresolution analysis on interval. The method generalizes the corresponding results of Cohen, Daubechies and Vial [Appl. Comput. Harmonic Anal., 1(1993), 54.81]. By the use of the subdivision operator, the expressions of the constructed functions are more compact. Furthermore, the method reveals more clearly some properties of multiresolution analysis with certain approximation order