Error estimates and reproduction of polynomials for biorthogonal local trigonometric bases

DOI10.1006/acha.1998.0246zbMath0969.42025OpenAlexW2085669228MaRDI QIDQ1283830

Kai Bittner

Publication date: 27 August 2000

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0776ce8f7e1ea24c1ceeea2deef91b9f1b7211d9

zbMATH Keywords

error estimatesbiorthogonal local trigonometric basescosine waveletMalvar waveletreproduction of constantsreproduction of linear functions

Mathematics Subject Classification ID

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

Related Items (3)

A characterization of \(L^p(\mathbb R )\) by local trigonometric bases with \(1<p<\infty\) ⋮ Optimized local trigonometric bases with nonuniform partitions ⋮ Direct and inverse approximation theorems for local trigonometric bases

Cites Work

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• Characterization of biorthogonal cosine wavelets
• Biorthogonal smooth local trigonometric bases
• A family of two-dimensional nonseparable Malvar wavelets
• Frames containing a Riesz basis and approximation of the frame coefficients using finite-dimensional methods
• Optimized local trigonometric bases
• A Simple Wilson Orthonormal Basis with Exponential Decay
• Entropy-based algorithms for best basis selection

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