Refinable function-based construction of weak (quasi-)affine bi-frames

DOI10.1007/s00041-014-9349-yzbMath1311.42081OpenAlexW1968187043MaRDI QIDQ487996

Hui-Fang Jia, Yun-Zhang Li

Publication date: 23 January 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-014-9349-y

zbMATH Keywords

multiresolution analysisrefinable functionsbi-framespairs of dual wavelet framesweak affine bi-framesweak quasi-affine frames

Mathematics Subject Classification ID

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

Related Items (16)

Multi-window dilation-and-modulation frames on the half real line ⋮ Weak nonhomogeneous wavelet dual frames for Walsh reducing subspace of L2(ℝ+) ⋮ A class of vector-valued subspace weak Gabor duals of type II ⋮ The formation and portraits of subspaceF_a-frames ⋮ Nonhomogeneous dual wavelet frames and mixed oblique extension principles in Sobolev spaces ⋮ On a class of weak nonhomogeneous affine bi-frames for reducing subspaces of \(L^2(\mathbb R^d)\) ⋮ Weak Nonhomogeneous Wavelet Bi-Frames for Reducing Subspaces of Sobolev Spaces ⋮ Subspace dual super wavelet and Gabor frames ⋮ Weak affine super bi-frames for reducing subspaces of \(L^{2}(\mathbb R,\mathbb C^{L})\) ⋮ Extension principles for affine dual frames in reducing subspaces ⋮ Dilation-and-modulation systems on the half real line ⋮ On Parseval Wavelet Frames via Multiresolution Analyses in ⋮ Vector-valued weak Gabor dual frames on discrete periodic sets ⋮ Making and Sharing K-Dual Frame Pairs ⋮ A class of weak dual wavelet frames for reducing subspaces of Sobolev spaces ⋮ A characterization of nonhomogeneous dual and weak dual wavelet superframes for Walsh‐reducing subspace of L2(ℝ+,ℂL)$$ {L}^2\left({\mathbb{R}}_{+},{\mathbb{C}}^L\right) $$

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