Study of Trivariate Pseudoframes and Subspace Frames and their Applications in Solid-State Physics

Zhong Yin Chen; Qing Jiang Chen

doi:10.4028/www.scientific.net/AMR.459.262

Paper Titles

Significance of Clinicopathology and Expression of Heat Shock Protein 72 in Human Primary Lung Carcinomas
p.242

Evaluation Implementation for Accessibility of Urban Public Green Space Based on ArcGIS Engine
p.247

Study on Experimental Simulation of Rocks under Hydraulic Fracturing
p.252

Non-Parameter Comparative Study on the Three Main Oil Crops Plant Efficiency
p.257

Study of Trivariate Pseudoframes and Subspace Frames and their Applications in Solid-State Physics
p.262

Parallel Machine Tardiness Scheduling Based on Improved Discrete Differential Evolution
p.266

The Characters of Multiple Tight Multivariate Wavelet Frames and Application in Quantum Physics
p.271

Design of CAN-Bus Based Yarn Feeding Control System for Carpet Tufting Machine
p.275

The Research of Bivariate Minimum-Energy Frames and Frames of Subspace and Application in Particle Physics
p.280

HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 459Study of Trivariate Pseudoframes and Subspace...

Study of Trivariate Pseudoframes and Subspace Frames and their Applications in Solid-State Physics

Abstract:

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 multiresolut- ion structure (TGMS) of subspace is proposed. The characteristics of trivariate affine pseudoframes for subspaces is investigated. Construction of a GMS of Paley-Wiener subspace of 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 based on a TGMS is established.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volume 459)

Pages:

262-265

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.459.262

Citation:

Cite this paper

Online since:

January 2012

Authors:

Zhong Yin Chen, Qing Jiang Chen

Keywords:

Affine Frames, Affine Pseudoframes, Gabor Frames, Materials Physics, Solid-State Physics, Trivariate Generalized Multiresolution Structure

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] I. Daubechies, et al, Painless nonorthogonal expansions. J. Math. Phys. 1986; 27: 1271-1283.

Google Scholar

[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.

Google Scholar

[3] A. Ron, Z. Shen, Affine systems in L^2(R^d). (II) Dual systems. J. Fourier Anal. Appl. 1997; 4: 617-637.

Google Scholar

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

Google Scholar

[5] S. Li, etal, Pseudoframes for Subspaces with Applications. J. Four. Anal. Appl. 2004; 10: 409-431.

Google Scholar

[6] S. Li, A Theory of Geeneralized Multiresolution Structure and Pseudoframes of Translates. J. Fourier Anal. Appl. 2001; 6(1): 23-40.

Google Scholar

[7] 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.

DOI: 10.1016/j.chaos.2009.03.176

Google Scholar