The Characters of Multiple Tight Multivariate Wavelet Frames and Application in Quantum Physics
The Characters of Multiple Tight Multivariate Wavelet Frames and Application in Quantum Physics
复制标题
DOI：
10.4028/www.scientific.net/amr.459.271
复制
发表时间：
2012-01
期刊：
影响因子：
--
通讯作者：
Delin Hua;Q. Lu
中科院分区：
文献类型：
--
作者：
Delin Hua;Q. Lu
材料科学是将物质的性质应用于科学和工程的各个领域的交叉学科领域。本文研究和构造了多元小波的有限支集紧多元框架。特别地，得到了它们存在的必要条件，为设计这种MRA紧框架提供了一些可行的想法。研究了子空间的二进制多尺度伪帧的性质。研究了的Paley-Wiener子空间的GMS的构造。在此基础上，建立了一种仿射多元框架的构造方法。
Materials science is an interdisciplinary field applying the properties of matter to various areas of science and engineering. This paper is devoted to the study and construction of finitely supported tight multivariate frames of multivariate multi-wavelets. Inparticular, a necessary conditi- on for their existence is obtained to present some feasible idea for designing such MRA tight frames. The characteristics of binary multiscale pseudoframes for subspaces is investigated. The constructi- on of a GMS of Paley-Wiener subspace of is studied. A constructive method for affine multivariate frames based on such a GMS is established.