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Invariance of shift-invariant spaces

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Abstract

In this paper, we give a characterization of shift-invariant subspaces which are also invariant under additional non-integer translations. Both principal and finitely generated shift-invariant subspaces are studied. Our results improve some known ones.

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Authors and Affiliations

  1. Department of Mathematics and LPMC, Nankai University, Tianjin, 300071, China

    QingYue Zhang & WenChang Sun

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  1. QingYue Zhang
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  2. WenChang Sun
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Correspondence to WenChang Sun.

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Zhang, Q., Sun, W. Invariance of shift-invariant spaces. Sci. China Math. 55, 1395–1401 (2012). https://doi.org/10.1007/s11425-012-4399-6

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  • DOI: https://doi.org/10.1007/s11425-012-4399-6

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