Affine pseudoframes for subspaces of L2(R) associated with a generalized multiresolution structure

Qingjiang Chen, Zhengxing Cheng and Cuiling Wang

Chaos, Solitons & Fractals, 2007, vol. 34, issue 5, 1401-1411

Abstract: In this paper, the notion of an m-band generalized multiresolution structure (GMS) of L2(R) is introduced. We give the definition and the characterization of affine pseudoframes for subspaces. The construction of a GMS of Paley–Wiener subspaces of L2(R) is investigated. The pyramid decomposition scheme is derived based on such a GMS. As a major new contribution the construction of affine frames for L2(R) based on a GMS is presented.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:5:p:1401-1411

DOI: 10.1016/j.chaos.2006.05.032

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