A characterization of nonhomogeneous wavelet bi-frames for reducing subspaces of Sobolev spaces

Abstract For nonhomogeneous wavelet bi-frames in a pair of dual spaces ( H s ( R d ) , H − s ( R d ) ) $(H^{s}(\mathbb{R}^{d}), H^{-s}(\mathbb{R}^{d}))$ with s ≠ 0 $s\neq 0$ , smoothness and vanishing moment requirements are separated from each other, that is, one system is for smoothness and the ot...

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Bibliographic Details
Main Authors: Hui-Fang Jia, Jianping Zhang
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-021-02586-y