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Spectral properties of matrix continuous refinement operators

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Abstract

A complete description of the spectrum of the matrix form of the continuous refinement operators on a subspace of compactly supported functions in L p(ℝd) is given. Properties of the compactly supported solutions of matrix refinement equations are derived from the spectral properties of the corresponding operators.

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Authors and Affiliations

  1. Department of Mathematics, National University of Singapore, Lower Kent Ridge Road, Singapore, 0511

    Qingtang Jiang & S.L. Lee

  2. Department of Mathematics, Peking University, Beijing, 100871, Peoples Republic of China

    Qingtang Jiang

Authors
  1. Qingtang Jiang
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  2. S.L. Lee
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Jiang, Q., Lee, S. Spectral properties of matrix continuous refinement operators. Advances in Computational Mathematics 7, 383–399 (1997). https://doi.org/10.1023/A:1018911306293

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