Wavelets and self-affine tilings
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Publication:1801494
DOI10.1007/BF01198010zbMath0813.42021MaRDI QIDQ1801494
Publication date: 17 August 1993
Published in: Constructive Approximation (Search for Journal in Brave)
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Polyhedra and polytopes; regular figures, division of spaces (51M20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)
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Cites Work
- Replicating superfigures and endomorphisms of free groups
- Recurrent sets
- Ondelettes, analyses multirésolutions et filtres miroirs en quadrature. (Wavelets, multiscale analysis and quadrature mirror filters)
- Compactly supported bidimensional wavelet bases with hexagonal symmetry
- Base d'ondelettes sur les groupes de Lie stratifiés
- Generating special Markov partitions for hyperbolic toral automorphisms using fractals
- Self-Similar Sets 5. Integer Matrices and Fractal Tilings of ℝ n
- Ten Lectures on Wavelets
