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arXiv · 1708.09536

Localisation property of Battle-Lemari\'{e} wavelets' sums

Elena P. Ushakova·Kristina E. Ushakova
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Abstract

Explicit formulae are given for a type of Battle-Lemari\'{e} scaling functions and related wavelets. Compactly supported sums of their translations are established and applied to alternative norm characterization of sequence spaces isometrically isomorphic to Nikolskii-Besov spaces on R.

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Elena P. Ushakova, Kristina E. Ushakova. 2017-08-31. Localisation property of Battle-Lemari\'{e} wavelets' sums. https://doi.org/10.1016/j.jmaa.2017.12.066

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