Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415144 | Journal of Functional Analysis | 2014 | 12 Pages |
Abstract
Let {Dk}k=1â be a sequence of digit sets in N and let {bk}k=1â be a sequence of integer numbers bigger than 1. We call the family {fk,Dk(x)=bkâ1(x+d):dâDk,k⩾1} a Moran iterated function system (IFS), which is a natural generalization of an IFS. We prove, under certain conditions in terms of (bk,Dk), that the associated Moran measure μ is a spectral measure, i.e., there exists a countable set ÎâN such that {e2Ïiλx:λâÎ} is an orthonormal basis for L2(μ).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Li-Xiang An, Xing-Gang He,