Orthonormal bases associated with multi-knot piecewise linear function sequences on \([0, 1)^n\)

DOI10.1007/s10114-009-7702-xzbMath1182.42017OpenAlexW2017720999MaRDI QIDQ2655588

Yulan Li, Yan, Dunyan

Publication date: 25 January 2010

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

Full work available at URL: https://doi.org/10.1007/s10114-009-7702-x

zbMATH Keywords

spectral sequencesorthonormal basisFourier basis

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) General harmonic expansions, frames (42C15)

Related Items (1)

Multidimensional multi-knots piecewise linear spectral sequences

Cites Work

• Spectral sets and factorizations of finite abelian groups
• Wavelets, tiling, and spectral sets
• \(L^p([0,1)\)-characterizations of multi-knot piecewise linear spectral sequences]
• Characterizations of multi-knot piecewise linear spectral sequences
• Optimized local trigonometric bases with nonuniform partitions
• Fourier spectrum characterization of Hardy spaces and applications
• Ten Lectures on Wavelets
• The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
• A Remarkable Series of Orthogonal Functions (I)
• Piecewise linear spectral sequences
• The Bedrosian identity for the Hilbert transform of product functions
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