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The support of a refinable vector satisfying an inhomogeneous refinement equation

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Abstract

In this paper, we investigate the support of a refinable vector satisfying an inhomogeneous refinement equation. By using some methods introduced by So and Wang, an estimate is given for the support of each component function of a compactly supported refinable vector satisfying an inhomogeneous matrix refinement equation with finitely supported masks.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, P. R. China

    Song Li & Yi Shen

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  1. Song Li
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  2. Yi Shen
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Correspondence to Song Li.

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Supported by National Natural Science Foundation of China (Grant Nos. 10771190, 10471123)

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Li, S., Shen, Y. The support of a refinable vector satisfying an inhomogeneous refinement equation. Acta. Math. Sin.-English Ser. 26, 691–698 (2010). https://doi.org/10.1007/s10114-010-7598-5

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  • DOI: https://doi.org/10.1007/s10114-010-7598-5

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