Characterization of biorthogonal cosine wavelets

DOI10.1007/BF02648884zbMath0913.42026MaRDI QIDQ1375137

Charles K. Chui, Xian Liang Shi

Publication date: 20 May 1999

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

Full work available at URL: https://eudml.org/doc/59525

zbMATH Keywords

Riesz basisbiorthogonal systemsSchauder basisframescosine wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (8)

Wavelets of Wilson type with arbitrary shapes ⋮ Riesz bounds of Wilson bases generated by \(B\)-splines ⋮ A characterization of \(L^p(\mathbb R )\) by local trigonometric bases with \(1<p<\infty\) ⋮ Optimized local trigonometric bases with nonuniform partitions ⋮ Error estimates and reproduction of polynomials for biorthogonal local trigonometric bases ⋮ Determination of jumps for functions based on Malvar-Coifman-Meyer conjugate wavelets ⋮ From local cosine bases to global harmonics ⋮ Direct and inverse approximation theorems for local trigonometric bases

Cites Work

• Modulated Malvar-Wilson bases
• Biorthogonal smooth local trigonometric bases
• Gaussian bases
• Optimized local trigonometric bases
• A Simple Wilson Orthonormal Basis with Exponential Decay
• Ten Lectures on Wavelets
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