Multilevel decompositions of functional spaces
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Publication:1384999
DOI10.1007/BF02648264zbMath0896.42023OpenAlexW1975754905MaRDI QIDQ1384999
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
Besov spaceBernstein inequalityJackson inequalitybiorthogonal waveletsmultilevel decompositionorthogonal decompositions
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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