mu(M,D)-Orthogonality and compatible pair

作者：Li Jian Lin^*

来源：Journal of Functional Analysis, 2007, 244(2): 628-638.

DOI：10.1016/j.jfa.2006.10.003

• iterated function system
• self-affine measure
• spectrum
• orthogonality
• compatible pair
• prime factorization
• digit set

Let AM, D be a self-affine measure associated with an expanding integer matrix M is an element of Mn (Z) and a finite subset D subset of Z(n). In the present paper we study the mu M,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.

• 出版日期2007-3-15
• 单位陕西师范大学