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Self-affine tiling of polyhedra

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Publication:2116717
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DOI10.1134/S1064562421050112zbMath1485.52015OpenAlexW4210702459MaRDI QIDQ2116717

T. I. Zaitseva, Vladimir Yu. Protasov

Publication date: 18 March 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421050112


zbMATH Keywords

conepolyhedronHaar systemtilingself-affinityinteger attractor


Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Three-dimensional polytopes (52B10) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)


Related Items (1)

Complete characterization of polyhedral self-affine tiles




Cites Work

  • Unnamed Item
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  • Multivariate wavelet frames
  • Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
  • Haar bases for \(L^ 2 (\mathbb{R}^ n)\) and algebraic number theory
  • Addition theorems for sets of integers
  • Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
  • Self-similarity and multiwavelets in higher dimensions
  • Simple tiles and attractors
  • Complementing Sets of n-Tuples of Integers
  • Self-similar lattice tilings




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