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- Title
The cardinality of μ<sub>m,d</sub> orthogonal exponentials of self-affine measures with two-elements digit set.
- Authors
WANG Xiao-zhen
- Abstract
The self-affine measure μM,D corresponding to M = pIN ( | p | >1, p∈ Z ), D= {0,l1e1 + l2e2 + ...+lNeN} ∈ZN (l1² +2/2 +lN² ≄ 0, lj ∈ Z, j = l,2,...,N) is supported on the attractor T(M,D). It was showed that there exist at most 2 mutually orthogonal exponential functions in L²(μm,d) when p is odd;there exist infinite mutually orthogonal exponential functions in L²(μm,D) when p is even.
- Subjects
ATTRACTORS (Mathematics); MEASURE theory; ORTHOGONAL functions; EXPONENTIAL functions; EXISTENCE theorems; SET theory; MATHEMATICAL analysis
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2012, Vol 25, Issue 2, p132
- ISSN
1006-8341
- Publication type
Article