Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/102795
Title: Affine Systems in L2(ℝd) II: Dual Systems
Authors: Ron, A.
Shen, Z. 
Keywords: Affine product
Affine systems
Dual frames
Frames
Multiresolution analysis
Quasi-affine systems
Wavelets
Issue Date: 1997
Source: Ron, A.,Shen, Z. (1997). Affine Systems in L2(ℝd) II: Dual Systems. Journal of Fourier Analysis and Applications 3 (5) : x11-637. ScholarBank@NUS Repository.
Abstract: The fiberization of affine systems via dual Gramian techniques, which was developed in previous papers of the authors, is applied here for the study of affine frames that have an affine dual system. Gramian techniques are also used to verify whether a dual pair of affine frames is also a pair of bi-orthogonal Riesz bases. A general method for a painless derivation of a dual pair of affine frames from an arbitrary MRA is obtained via the mixed extension principle.
Source Title: Journal of Fourier Analysis and Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/102795
ISSN: 10695869
Appears in Collections:Staff Publications

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