Paper Title:
The Research of Multiple Subspace Pseudoframes with Integer Translation
  Abstract

Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. The definition of multiple pseudofames for subspaces with integer translation is proposed. The notion of a generalized multiresolution structure (GMS) of is also introduced. The construction of a GMS of Paley-Wiener subspaces of is investigated. The pyramid decomposition scheme is derived based on a GMS. As a major new constribution the sufficient condition for the existence of multiple pseudoframes for subspaces is derived based on such a GMS.

  Info
Periodical
Key Engineering Materials (Volumes 439-440)
Edited by
Yanwen Wu
Pages
1129-1134
DOI
10.4028/www.scientific.net/KEM.439-440.1129
Citation
J. C. Shi, S. W. Guo, "The Research of Multiple Subspace Pseudoframes with Integer Translation ", Key Engineering Materials, Vols. 439-440, pp. 1129-1134, 2010
Online since
June 2010
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Yu Min Yu
Abstract:Frame theory has been the focus of active research for twenty years, both in theory and applications. In this work, the notion of the...
926
Authors: Tong Qi Zhang
Abstract:In recent years, frames have been the focus of active research, both in theory and applications. In this paper, the notion of multiple affine...
1111
Authors: Zong Ling An, Yong Mei Niu
Abstract:The notion of a generalized multiresolution structure and the concept of subspace bivariate affine pseudoframes are introduced. The pyramid...
1117
Authors: Qing Jiang Chen, Miao Chang
Abstract:Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation....
109
Authors: Zhong Yin Chen, Qing Jiang Chen
Chapter 2: Industry, Manufacturing Technology and Mechanical Engineering
Abstract:Materials science is an interdisciplinary field applying the properties of matter to various areas of science and engineering.. In this work,...
262