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Tilings与谱特征性质的证明
引用本文:王金柱,周脉东.Tilings与谱特征性质的证明[J].陕西教育学院学报,2010,26(3):90-92.
作者姓名:王金柱  周脉东
作者单位:陕西教育学院数学系,陕西西安,710061
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。文献1中就二者在较强条件下,给出了Tilings与谱的一些特征性质。本文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。

关 键 词:Tiling对  谱对  填充对

The Proof of Characteristic Properties of Tilings and Spectra
WANG Jin-zhu,ZHOU Mai-dong.The Proof of Characteristic Properties of Tilings and Spectra[J].Journal of Shaanxi Institute of Education,2010,26(3):90-92.
Authors:WANG Jin-zhu  ZHOU Mai-dong
Institution:(Department of Maths,Shaanxi Institute of Education,Xi'an 710061,China)
Abstract:Tilings and spectra play an important role in analysis and geometry respectively.Many conjectures concern the relations between tilings and spectra.On the stronger condition,some characteristic properties of spectra and tilings are derived in1].In this article the author uses the technique of approximating identity from the corresponding inequality to prove several important theorems.
Keywords:tiling pair  spectral pair  packing pair
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