\(\mu _{m,d}\)-orthogonality and compatible pair
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.
scientific article; zbMATH DE number 5151633
scientific article