Optimized local trigonometric bases with nonuniform partitions

DOI10.1007/s10114-005-0647-9zbMath1129.42424OpenAlexW2082358459MaRDI QIDQ2508630

Yongge Wang, QiaoFang Lian, Yan, Dunyan

Publication date: 13 October 2006

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

Full work available at URL: https://doi.org/10.1007/s10114-005-0647-9

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (2)

Orthonormal bases associated with multi-knot piecewise linear function sequences on \([0, 1)^n\) ⋮ A characterization of \(L^p(\mathbb R )\) by local trigonometric bases with \(1<p<\infty\)

Cites Work

• Error estimates and reproduction of polynomials for biorthogonal local trigonometric bases
• Characterization of biorthogonal cosine wavelets
• Biorthogonal smooth local trigonometric bases
• Efficient computation of oscillatory integrals via adaptive multiscale local Fourier bases
• Nonlinear approximation with local Fourier bases
• Optimized local trigonometric bases
• Adapted local trigonometric transforms and speech processing
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