The Research of Dual Quarternary Pseudoframes for Hardy Space and Applications in Engineering Materials

Chun Yi Jiao; Shi Heng Wang

doi:10.4028/www.scientific.net/AMR.977.19

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 977The Research of Dual Quarternary Pseudoframes for...

The Research of Dual Quarternary Pseudoframes for Hardy Space and Applications in Engineering Materials

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 quarternary generalized multiresol- ution structure (TGMS) of subspace is proposed. The characteristics of quarternary 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.

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Periodical:

Advanced Materials Research (Volume 977)

Pages:

19-24

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.977.19

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Online since:

June 2014

Authors:

Chun Yi Jiao*, Shi Heng Wang

Keywords:

Affine Frames, Affine Pseudoframes, Gabor Frames, Hardy Space, Quarternary Generalized Multiresolution Structure

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