Analysis of μR,D-Orthogonality in Affine Iterated Function Systems
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- Yuan, YB. Acta Appl Math (2008) 104: 151. doi:10.1007/s10440-008-9247-x
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Let μR,D be a self-affine measure associated with an expanding integer matrix R∈Mn(ℤ) and a finite subset D⊆ℤn. In the present paper we study the μR,D-orthogonality and compatible pair conditions. We also show that any set of μR,D-orthogonal exponentials contains at most 3 elements on the generalized plane Sierpinski gasket and the number 3 is the best.