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A Class of Bidimensional FMRA Wavelet Frames

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Abstract

This paper addresses the construction of wavelet frame from a frame multiresolution analysis (FMRA) associated with a dilation matrix of determinant ±2. The dilation matrices of determinant ±2 can be classified as six classes according to integral similarity. In this paper, for four classes of them, the construction of wavelet frame from an FMRA is obtained, and, as examples, Shannon type wavelet frames are constructed, which have an independent value for their optimality in some sense.

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Authors and Affiliations

  1. Department of Applied Mathematics, Beijing University of Technology, Beijing 100022, P. R. China

    Yun Zhang Li

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  1. Yun Zhang Li
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Correspondence to Yun Zhang Li.

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Supported by Excellent Talent Training Foundation of Beijing (20051D0501522)

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Li, Y.Z. A Class of Bidimensional FMRA Wavelet Frames. Acta Math Sinica 22, 1051–1062 (2006). https://doi.org/10.1007/s10114-005-0653-y

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  • DOI: https://doi.org/10.1007/s10114-005-0653-y

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