English

The Asymptotic Behaviour of the $m$-th Order Cardinal $B$-Spline wavelet

Functional Analysis 2017-08-29 v1

Abstract

It is well-known that the mm-th order cardinal BB-spline wavelet, ψm,\psi_{m}, decays exponentially. Our aim in this paper is to determine the exact rate of this decay and thereby to describe the asymptotic behaviour of ψm\psi_{m}.

Keywords

Cite

@article{arxiv.1708.08108,
  title  = {The Asymptotic Behaviour of the $m$-th Order Cardinal $B$-Spline wavelet},
  author = {Ronald Kerman and Mi-Ae Kim and Susanna Spektor},
  journal= {arXiv preprint arXiv:1708.08108},
  year   = {2017}
}