The Characters of Multiple Tight Multivariate Wavelet Frames and Application in Quantum Physics-Reference-Cited by-同舟云学术

The Characters of Multiple Tight Multivariate Wavelet Frames and Application in Quantum Physics

Published:2012-01 Issue: Volume:459 Page:271-274
ISSN:1662-8985
Container-title:Advanced Materials Research
language:
Short-container-title:AMR

Author:

Hua De Lin¹,Lu Qing Bin¹

Affiliation:

1. Nanyang Institute of Technology

Abstract

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.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Link

https://www.scientific.net/AMR.459.271.pdf

Reference7 articles.

1. I. Daubechies, A. Grossmann, A. Meyer, Painless nonorthogonal expansions. J. Math. Phys. 1986; 27: 1271-1283.

2. J. J. Benedetto, S. Li, The theory of multiresolution analysis frames and applications to filter banks. Appl. comput. Harmon. Anal. 1998; 5: 389-427.

3. A. Ron, Z. Shen, Affine systems in L2(Rd). (II) Dual systems. J. Fourier Anal. Appl. 1997; 4: 617-637.

4. I. Daubechies, Ten Lectures on Wavelets. SIAM: Philadelphia, (1992).

5. Q. Chen, Z. Shi, H. Cao. The characterization of a class of subspace pseudoframes with arbitrary real number translations. Chaos, Solitons & Fractals. 2009, 42(5): 2696–2706.