Study of trivariate Pseudoframes and Subspace Frames and Their Applications in Solid-state Physics

被引：0
作者：
Chen, Zhongyin [1 ]
Chen, Qingjiang [2 ]
机构：
[1] Nanyang Inst Technol, Sch Educ, Nanyang 473000, Peoples R China
[2] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China
来源：
ADVANCED RESEARCH ON INDUSTRY, INFORMATION SYSTEM AND MATERIAL ENGINEERING | 2012年 / 459卷
关键词：
Affine pseudoframes; trivariate generalized multiresolution structure; affine frames; Gabor frames; solid-state physics; materials physics;
D O I：
10.4028/www.scientific.net/AMR.459.262
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Materials science is an interdisciplinary field applying the properties of matter to various areas of science and engineering.. In this work, the notion of the trivariate generalized multiresolution structure (TGMS) of subspace L-2 (R-3) is proposed. The characteristics of trivariate affine pseudoframes for subspaces is investigated. Construction of a GMS of Paley-Wiener subspace of L-2 (R-3) is studied. The pyramid decomposition scheme is obtained based on such a TGMS and a sufficient condition for its existence is provided. A constructive method for affine frames of L-2 (R-3) based on a TGMS is established.
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页码：262 / +
页数：2
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