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MRA Parseval Frame Wavelets and Their Multipliers in

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  • Wu Guochang
  • Yang Xiaohui
  • Liu Zhanwei

Abstract

We characterize all generalized lowpass filters and multiresolution analysis( MRA) Parseval frame wavelets in with matrix dilations of the form , where A is an arbitrary expanding matrix with integer coefficients, such that . At first, we study the pseudo-scaling functions, generalized lowpass filters, and multiresolution analysis (MRA) Parseval frame wavelets and give some important characterizations about them. Then, we describe the multiplier classes associated with Parseval frame wavelets in and give an example to prove our theory.

Suggested Citation

  • Wu Guochang & Yang Xiaohui & Liu Zhanwei, 2009. "MRA Parseval Frame Wavelets and Their Multipliers in," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-17, August.
    • Handle: RePEc:hin:jnlmpe:492585
    DOI: 10.1155/2009/492585
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