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

De Lin Hua; Qing Bin Lu

doi:10.4028/www.scientific.net/AMR.459.271

Paper Titles

Study on Experimental Simulation of Rocks under Hydraulic Fracturing
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Non-Parameter Comparative Study on the Three Main Oil Crops Plant Efficiency
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Study of Trivariate Pseudoframes and Subspace Frames and their Applications in Solid-State Physics
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Parallel Machine Tardiness Scheduling Based on Improved Discrete Differential Evolution
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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

Yarn Feeding Change Analysis for Needle Bar Transverse Shifting of Carpet Tufting Machine
p.284

The Nice Feature of a Sort of Orthogonal Finitely Supported Five-Variant Wavelet Packages
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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 459The Characters of Multiple Tight Multivariate...

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

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.

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Periodical:

Advanced Materials Research (Volume 459)

Pages:

271-274

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.459.271

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Online since:

January 2012

Authors:

De Lin Hua, Qing Bin Lu

Keywords:

Filter Functions, Generalized Multiresolution Structure, Mathematical Modeling Methods, Multivariate, Quantum Physics, Tight Wavelet Frames

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References

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

DOI: 10.1063/1.527388

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 L2(Rd). (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] 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

[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. Wei, J. Feng. A note on the standard dual frame of a wavelet frame with three-scale. Chaos, Solitons & Fractals. 2009, 42(2): 931-937.

DOI: 10.1016/j.chaos.2009.02.024

Google Scholar