Localisation property of Battle-Lemari\'{e} wavelets' sums
Functional Analysis
2018-01-23 v3
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.
Cite
@article{arxiv.1708.09536,
title = {Localisation property of Battle-Lemari\'{e} wavelets' sums},
author = {Elena P. Ushakova and Kristina E. Ushakova},
journal= {arXiv preprint arXiv:1708.09536},
year = {2018}
}
Comments
9 figures