On a class of weak nonhomogeneous affine bi-frames for reducing subspaces of \(L^2(\mathbb R^d)\)

DOI10.1007/s10114-017-6445-3zbMath1387.42048OpenAlexW2738853188MaRDI QIDQ1682744

Jian-Ping Zhang, Yun-Zhang Li

Publication date: 5 December 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-017-6445-3

zbMATH Keywords

reducing subspacesextension principlebi-framesweak homogeneous affine bi-framesweak nonhomogeneous affine bi-frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (7)

Weak nonhomogeneous wavelet dual frames for Walsh reducing subspace of L2(ℝ+) ⋮ A class of vector-valued subspace weak Gabor duals of type II ⋮ A Characterization of (Weak) Nonhomogeneous Wavelet Dual Frames and Mixed Oblique Principle in Sobolev Spaces on the Half Real Line ⋮ Generalized multiresolution structures in reducing subspaces of local fields ⋮ Nonhomogeneous wavelet dual frames and extension principles in reducing subspaces ⋮ A characterization of nonhomogeneous dual and weak dual wavelet superframes for Walsh‐reducing subspace of L2(ℝ+,ℂL)$$ {L}^2\left({\mathbb{R}}_{+},{\mathbb{C}}^L\right) $$ ⋮ Dualwavelet frames in Sobolev spaces on local fields of positive characteristic

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