\(\mu _{m,d}\)-orthogonality and compatible pair (Q880110)
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scientific article; zbMATH DE number 5151633
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\mu _{m,d}\)-orthogonality and compatible pair |
scientific article; zbMATH DE number 5151633 |
Statements
\(\mu _{m,d}\)-orthogonality and compatible pair (English)
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10 May 2007
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Let \(\mu_{M,D}\) be a self-affine measure associated with an expanding integer matrix \(M \in M_n(\mathbb Z)\) and a finite subset \(D \subset \mathbb Z^n\). The author studies the \(\mu_{M,D}\)-orthogonality and compatible pair conditions as well as relations between them. The work is based on the structure of vanishing sums of roots of unity. Several examples are given, including one involving a plane Sierpiński gasket.
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iterated function systems
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self--affine measures
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spectrum
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orthogonality
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prime factorization
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digit set
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