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Self-Affine Tilings with Several Tiles, I

✍ Scribed by Karlheinz Gröchenig; Andrew Haas; Albert Raugi

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
357 KB
Volume
7
Category
Article
ISSN
1063-5203

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✦ Synopsis

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 ).

📜 SIMILAR VOLUMES

Lattice-tiling properties of integral se
Lattice-tiling properties of integral self-affine functions
✍ M.N. Kolountzakis 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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-a•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