Paper Title:
On Existence of Matrix-Valued Wavelets
  Abstract

Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this paper, we investigate the existence of matrix-valued wavelet associated with a matrix-valued multireslution analysis. By using operator polar decomposition, we provide a new proof for the existence of matrix-valued wavelets. We prove that, like in the scalar case, every matrix-valued multiresolution analysis guarantees the existence of an orthogonal matrix-valued wavelet.

  Info
Periodical
Advanced Materials Research (Volumes 282-283)
Chapter
Chapter 1: Material Engineering, Chemistry, Bioinformatics
Edited by
Helen Zhang and David Jin
Pages
153-156
DOI
10.4028/www.scientific.net/AMR.282-283.153
Citation
B. M. Yu, "On Existence of Matrix-Valued Wavelets", Advanced Materials Research, Vols. 282-283, pp. 153-156, 2011
Online since
July 2011
Authors
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Price
$32.00
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