Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (30): 33-35.DOI: 10.3778/j.issn.1002-8331.2010.30.010
• 研究、探讨 • Previous Articles Next Articles
YU Xue-li，YUAN Yan-bo
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于雪莉，袁彦波
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Abstract: The problem of the orthogonality on the generalized Sierpinski gasket is discussed.And a new proof is provided to a theorem of Jian-lin Li.It generalizes the result of Dutkay and Jorgensen on the non-spectral self-affine measure and the number of orthogonal exponentials problem，and also promotes the result to a more general form in recent paper.
Key words: self-affine measure, iterated function system, orthogonal exponentials
摘要： 讨论广义Sierpinski垫的正交指数函数个数问题，为Jian-lin Li的一个定理给出了新的证法；把Dutkay和Jorgensen在其最近文章中关于非自仿测度及正交指数函数个数问题的结果推广到更一般的形式并且改进了其结果。
关键词: 自仿测度, 迭代函数系, 正交指数函数
CLC Number:
O174.21
YU Xue-li，YUAN Yan-bo. Analysis of orthogonality on generalized Sierpinski gasket[J]. Computer Engineering and Applications, 2010, 46(30): 33-35.
于雪莉，袁彦波. 广义Sierpinski垫正交性分析[J]. 计算机工程与应用, 2010, 46(30): 33-35.
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URL: http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.2010.30.010
http://cea.ceaj.org/EN/Y2010/V46/I30/33
