Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592802 | Journal of Functional Analysis | 2007 | 11 Pages |
Abstract
Let μM,D be a self-affine measure associated with an expanding integer matrix M∈Mn(Z) and a finite subset D⊂Zn. In the present paper we study the μM,D-orthogonality and compatible pair conditions as well as relations between them. The research here is based on the structure of vanishing sums of roots of unity, and is closely related to the problem of spectral self-affine measure.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory