\(\mu _{m,d}\)-orthogonality and compatible pair
type: Item
instance of: scholarly article
title: \(\mu _{m,d}\)-orthogonality and compatible pair
zbMATH Open document ID: 1119.42014
author: Jian-Lin Li
published in: Journal of Functional Analysis
publication date: 2007-05-10T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 5151633
zbMATH Keywords: iterated function systems
zbMATH Keywords: self--affine measures
zbMATH Keywords: spectrum
zbMATH Keywords: orthogonality
zbMATH Keywords: prime factorization
zbMATH Keywords: digit set
reviewed by: Richard A. Zalik
MaRDI profile type: Publication
full work available at URL: j.jfa.2006.10.003
OpenAlex ID: W1964300356
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DOI: 10.1016/J.JFA.2006.10.003
description: scientific article; zbMATH DE number 5151633