Piecewise linear spectral sequences

DOI10.1090/S0002-9939-05-08067-6zbMath1061.42020OpenAlexW1638248189MaRDI QIDQ4671868

Yuesheng Xu, You Ming Liu

Publication date: 27 April 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08067-6

zbMATH Keywords

Walsh systemnon-constant frequencyorthonormal exponential basespiecewise linear spectral sequences

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15)

Related Items

Orthonormal bases associated with multi-knot piecewise linear function sequences on \([0, 1)^n\) ⋮ A characterization of multidimensional multi-knot piecewise linear spectral sequence and its applications ⋮ Necessary and sufficient conditions for the Bedrosian identity ⋮ Characterizations of multi-knot piecewise linear spectral sequences ⋮ Orthonormal bases with nonlinear phases ⋮ Multidimensional multi-knots piecewise linear spectral sequences ⋮ Expansions of functions based on rational orthogonal basis with nonnegative instantaneous frequencies

Cites Work

• Using the matrix refinement equation for the construction of wavelets on invariant sets
• Spectral sets and factorizations of finite abelian groups
• Foundations of time-frequency analysis
• Wavelets, tiling, and spectral sets
• A B-spline approach for empirical mode decompositions
• 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)
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