Multilevel decompositions of functional spaces

DOI10.1007/BF02648264zbMath0896.42023OpenAlexW1975754905MaRDI QIDQ1384999

Claudio Canuto, Anita Tabacco

Publication date: 27 September 1998

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

Full work available at URL: https://eudml.org/doc/59533

zbMATH Keywords

Besov spaceBernstein inequalityJackson inequalitybiorthogonal waveletsmultilevel decompositionorthogonal decompositions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) General harmonic expansions, frames (42C15)

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Cites Work

• Multilevel preconditioning
• Decomposition of refinable spaces and applications to operator equations
• Stability of multiscale transformations
• Interpolation of normed Abelian groups
• Absolute and relative cut-off in adaptive approximation by wavelets
• Interpolation of Besov Spaces
• Image compression through wavelet transform coding
• Ten Lectures on Wavelets
• Compression of Wavelet Decompositions
• Biorthogonal bases of compactly supported wavelets
• Besov regularity for elliptic boundary value problems
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