English

On the bounds of coefficients of Daubechie's orthonormal wavelets

Functional Analysis 2020-04-17 v1

Abstract

In the present work we provide the bounds for Daubechies orthonormal wavelet coefficients for function spaces Akp:={f:(iω)kf^(ω)p<}\mathcal{A}_k^p:=\{f: \|(i \omega)^k\hat{f}(\omega)\|_p< \infty\}, kN{0}k\in\mathbf{N}\cup\{0\}, p(1,)p\in(1,\infty).

Keywords

Cite

@article{arxiv.2004.07741,
  title  = {On the bounds of coefficients of Daubechie's orthonormal wavelets},
  author = {Susanna Spektor},
  journal= {arXiv preprint arXiv:2004.07741},
  year   = {2020}
}