Analysis of mu(R,D)-orthogonality in affine iterated function systems

作者：Yuan Yan Bo^*

来源：Acta Applicandae Mathematicae, 2008, 104(2): 151-159.

DOI：10.1007/s10440-008-9247-x

• compatible pair
• iterated function system (IFS)
• spectrum
• spectral measure

Let mu (R,D) be a self-affine measure associated with an expanding integer matrix R is an element of M(n)(Z) and a finite subset D subset of Z(n). In the present paper we study the mu(R,D)-orthogonality and compatible pair conditions. We also show that any set of mu(R,D)-orthogonal exponentials contains at most 3 elements on the generalized plane Sierpinski gasket and the number 3 is the best.

• 出版日期2008-11
• 单位陕西师范大学