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The Biorthogonality Traits of Vector-Valued Multivariant Small-Wave Wraps with Poly-Scale Dilation Factor

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Advanced Research on Computer Science and Information Engineering (CSIE 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 153))

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Abstract

In this paper, we introduce a class of vector-valued wavelet wraps with poly-scale dilation factor for vector multivariant function space. A procedure for designing a class of biorthogonal vector multivariant wavelet wraps according to a pair of biorthogonal vector scaling functions, is presented and their biorthogonality traits are characterized by virtue of matrix theory, time-frequency analysis method, and operator theory. Three biorthogonality formulas concerning these wavelet wraps are derived. Moreover, it is shown how to gain new Riesz bases of space L 2(R s,R u) from these small-wave wraps.

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Author information

Authors and Affiliations

  1. School of Education, Nanyang Institute of Technology, Nanyang, 473000, China

    Yongmei Niu & Xuejian Sun

Authors
  1. Yongmei Niu
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  2. Xuejian Sun
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Editors and Affiliations

  1. Wuhan University of Science and Technology, Zhongnan Branch, No.18, Jiangxia Road, Wuhan, China

    Gang Shen

  2. International Science & Education Researcher Association Wuhan Branch, No.1, Jiangxia Road, Wuhan, China

    Xiong Huang

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© 2011 Springer-Verlag Berlin Heidelberg

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Niu, Y., Sun, X. (2011). The Biorthogonality Traits of Vector-Valued Multivariant Small-Wave Wraps with Poly-Scale Dilation Factor. In: Shen, G., Huang, X. (eds) Advanced Research on Computer Science and Information Engineering. CSIE 2011. Communications in Computer and Information Science, vol 153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21411-0_11

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  • DOI: https://doi.org/10.1007/978-3-642-21411-0_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21410-3

  • Online ISBN: 978-3-642-21411-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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