Multiwavelets in the generalized Sobolev space \(H^{\omega}_W(\mathbb R^n)\)

DOI10.1016/j.camwa.2007.04.022zbMath1155.42310OpenAlexW2069491954MaRDI QIDQ1005821

Ryuichi Ashino, Gireesh Pandey, Ram Shankar Pathak

Publication date: 10 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.04.022

zbMATH Keywords

ultradistributionsmultiwaveletsgeneralized Sobolev spaceoscillation properityregular multiresolution analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Numerical methods for wavelets (65T60)

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Cites Work

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• Sobolev spaces in the generalized distribution spaces of Beurling type
• Regularity of refinable function vectors
• Regular compactly supported wavelets in Sobolev spaces
• A construction of multiwavelets
• Wavelets in a generalized Sobolev space
• Linear partial differential operators and generalized distributions
• Discrete Discrete Wavelets
• A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
• Multiwavelets: Regularity, Orthogonality, and Symmetry via Two–Scale Similarity Transform
• Refinable Function Vectors
• Construction of Multiscaling Functions with Approximation and Symmetry
• Microlocal filtering with multiwavelets

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