| Tilings与谱对偶性质的证明 |
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| 引用本文： | 周脉东. Tilings与谱对偶性质的证明[J]. 科学技术与工程, 2010, 10(28) |
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| 作者姓名： | 周脉东 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,西安,710062;陕西教育学院数学系,西安,710061 |
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| 摘 要： | Tilings与谱分别在几何和分析中起着重要的作用,有许多猜测涉及到它们之间的联系.二者之间没有直接的共轭关系,在二者较强条件下,已给出了Tilings与谱的一些特征性质;现利用不等式逼近相应恒等式的方法,证明了其中几个重要的基本定理.
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| 关 键 词： | Tiling对 谱对 填充对 |
| 收稿时间： | 2010-07-08 |
| 修稿时间： | 2010-07-21 |
The proof of Duality properties between tilings and spectra |
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| zhoumaidong. The proof of Duality properties between tilings and spectra[J]. Science Technology and Engineering, 2010, 10(28) |
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| Authors: | zhoumaidong |
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| Affiliation: | ZHOU Mai-dong(College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,P.R.ChinaDepartment of Maths,Shaanxi Institute of Education,Xi'an 710061,P.R.China) |
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| Abstract: | Tilings and spectra play an important role in analysis and geometry respectively.Many conjectures concern the relations between tilings and spectra. There is no complete dualitybetween tiling and spectrality. On the stronger condition, some characteristic properties of spectra and tilings are derived in [1]. In this article author use the technique of approximating identity from the corresponding inequality to prove several important theorems. |
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| Keywords: | tiling pair spectral pair packing pair |
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