Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4608106 | Journal of Approximation Theory | 2008 | 9 Pages |
Abstract
The self-affine measure μMp,D corresponding toMp=2p02(pâZ)andD=00,10,01is supported on the the generalized plane Sierpinski gasket T(Mp,D). In the present paper we show that there exist at most 3 mutually orthogonal exponential functions in L2(μMp,D), and the number 3 is the best. This generalizes several known results on the non-spectral self-affine measure problem.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jian-Lin Li,