𝔖 Bobbio Scriptorium
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Integral self-affine tiles in ℝnpart II: Lattice tilings

✍ Scribed by Jeffrey C. Lagarias; Yang Wang

Book ID
110608149
Publisher
SP Birkhäuser Verlag Boston
Year
1997
Tongue
English
Weight
932 KB
Volume
3
Category
Article
ISSN
1069-5869

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📜 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