Localisation property of Battle-Lemarié wavelets' sums
arXiv:1708.09536 · doi:10.1016/j.jmaa.2017.12.066
Abstract
Explicit formulae are given for a type of Battle-Lemarié 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.
9 figures