Wavelet bases for a set of commuting unitary operators
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Publication:1895886
DOI10.1007/BF02070823zbMath0824.65031MaRDI QIDQ1895886
Publication date: 13 November 1995
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Riesz basisHilbert spacebox splinesmultiresolution approximationduality principlewandering subspacecommuting, unitary operatorslinear spline wavelets
General theory of numerical analysis in abstract spaces (65J05) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical methods for trigonometric approximation and interpolation (65T40)
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Analytic wavelets generated by radial functions ⋮ Discrete convolution operators and Riesz systems generated by actions of abelian groups ⋮ Wandering \(r\)-tuples for unitary systems ⋮ Frames, Riesz systems and multiresolution analysis in Hilbert spaces ⋮ Convolution systems on discrete abelian groups as a unifying strategy in sampling theory ⋮ Sampling in the range of the analysis operator of a continuous frame having unitary structure
Cites Work
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- Bases d'ondelettes dans des ouverts de \({\mathbb{R}}^ n\). (Wavelet bases in open sets of \({\mathbb{R}}^ n)\)
- Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
- Using the refinement equation for the construction of pre-wavelets. V: Extensibility of trigonometric polynomials
- Wavelets and pre-wavelets in low dimensions
- Wavelets in Wandering Subspaces
- Fast wavelet transforms and numerical algorithms I
- Orthonormal bases of compactly supported wavelets
- A Cardinal Spline Approach to Wavelets
- On Compactly Supported Spline Wavelets and a Duality Principle
- Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
- Wavelet bases for a unitary operator
- On Wandering Subspaces for Unitary Operators
