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Wavelets and self-affine tilings

✍ Scribed by Robert S. Strichartz


Publisher
Springer
Year
1993
Tongue
English
Weight
788 KB
Volume
9
Category
Article
ISSN
0176-4276

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πŸ“œ SIMILAR VOLUMES


Self-Affine Tilings with Several Tiles,
✍ Karlheinz GrΓΆchenig; Andrew Haas; Albert Raugi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 357 KB

The tilings of R d by a finite number of lattice translates of self-affine prototiles are studied in their own right and as they relate to multiwavelet bases of L 2 (R d ).

Disk-Like Self-Affine Tiles inR2
✍ C. Bandt; Y. Wang πŸ“‚ Article πŸ“… 2001 πŸ› Springer 🌐 English βš– 116 KB
Lattice-tiling properties of integral se
✍ M.N. Kolountzakis πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 184 KB

Let A be a d x d expanding integer matrix and p : Z d ---\* C be absolutely summable and satisfy ~~.~ez~ p(x) = t det A I. A function f e L 1 (R d) is called an integral self-aβ€’ne function for the pair (A,p) if it satisfies the functional equation f(A-lx) = ~~.z/ez a p(y)f(x -y), a.e. (x). We prove