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Multifractal spectra of multi-affine functions

✍ Scribed by Albert-László Barabási; Péter Szépfalusy; Tamás Vicsek


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
598 KB
Volume
178
Category
Article
ISSN
0378-4371

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Lattice-tiling properties of integral se
✍ 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