A characterization of multidimensional multi-knot piecewise linear spectral sequence and its applications

DOI10.1007/s10114-013-2099-yzbMath1290.42021OpenAlexW118309465MaRDI QIDQ383618

Xu Liu, Xiaona Cui, Rui Wang, Yan, Dunyan

Publication date: 5 December 2013

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

Full work available at URL: https://doi.org/10.1007/s10114-013-2099-y

zbMATH Keywords

convergence analysisspectral sequenceBochner-Riesz meansorthonormal exponential base

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Cites Work

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• Adaptive decomposition by weighted inner functions: a generalization of Fourier series
• Characterizations of multi-knot piecewise linear spectral sequences
• A B-spline approach for empirical mode decompositions
• A characterization of \(L^p(\mathbb R )\) by local trigonometric bases with \(1<p<\infty\)
• On convergence and growth of partial sums of Fourier series
• Multidimensional multi-knots piecewise linear spectral sequences
• The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
• Piecewise linear spectral sequences
• Bochner–Riesz Means on Euclidean Spaces
• The Transport Equation of Radiative Transfer in a Three-dimensional Space with Anisotropic Scattering
• Characterization of \(L^p (\mathbb R^n)\) using Gabor frames

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