Crystallographic Haar wavelets

DOI10.1007/s00041-011-9175-4zbMath1270.42032OpenAlexW2007891200MaRDI QIDQ657878

María del Carmen Moure, Alfredo L. González

Publication date: 10 January 2012

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

Full work available at URL: https://doi.org/10.1007/s00041-011-9175-4

zbMATH Keywords

tilingscrystallographic groupcrystallographic multiresolution analysiscrystallographic multiwaveletexpanding affine mapHaar-type multiwaveletsreptilesscaling function vectors

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Other geometric groups, including crystallographic groups (20H15) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (7)

Decomposing the wavelet representation for shifts by wallpaper groups ⋮ On discrete groups of Euclidean isometries: representation theory, harmonic analysis and splitting properties ⋮ Wavelets with crystal symmetry shifts ⋮ Riesz bases associated with regular representations of semidirect product groups ⋮ Crystallographic multiwavelets in $L^2(\mathbb {R}^d)$ ⋮ Approximation by crystal-refinable functions ⋮ Wavelet Sets for Crystallographic Groups

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