An algebraic approach to multiresolution analysis

DOI10.1090/S0002-9947-05-03656-1zbMath1102.42015MaRDI QIDQ5313318

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Publication date: 29 August 2005

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

zbMATH Keywords

waveletsmultiresolution analysisgroup ring

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Representation theory of groups (20C99)

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Cites Work

• Efficient computation of Fourier transforms on compact groups
• Wavelets on discrete fields
• Platonic orthonormal wavelets
• Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale \(N\)
• Algorithms for fast convolutions on motion groups
• A wavelet theory for local fields and related groups
• A wreath product group approach to signal and image processing .I. Multiresolution analysis
• A wreath product group approach to signal and image processing .II. Convolution, correlation, and applications
• Stochastic Deconvolution Over Groups
• Transforms associated to square integrable group representations. I. General results
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
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