Abstract
We study shift invariant spaces generated by refinable distributions. We classify the summation and the intersection of shift invariant spaces generated by refinable distributions, and prove that they are also shift invariant spaces generated by refinable distributions.
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Dai, X., Song, J. Summation and intersection of refinable shift invariant spaces. Sci. China Math. 54, 2087–2097 (2011). https://doi.org/10.1007/s11425-011-4297-3
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DOI: https://doi.org/10.1007/s11425-011-4297-3