On progressive functions

DOI10.1016/J.JMAA.2014.10.001zbMath1304.42086OpenAlexW2002139859MaRDI QIDQ465410

Baiqiao Deng, Anca Deliu

Publication date: 31 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.001

zbMATH Keywords

shift-invariant spacesdual functionsorthonormal sequencesprogressive functionsRiesz sequence

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Functional equations for real functions (39B22)

Cites Work

• Four short courses on harmonic analysis. Wavelets, frames, time-frequency methods, and applications to signal and image analysis
• A practical guide to splines
• Shift-invariant spaces and linear operator equations
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• Biorthogonal bases of compactly supported wavelets
• Shorter Notes: A Simple Proof of Wiener's 1/f Theorem
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
• Shift-invariant spaces on the real line
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