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Tilings与谱特征性质的证明

The Proof of Characteristic Properties of Tilings and Spectra
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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。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。 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 in[1].In this article the author uses the technique of approximating identity from the corresponding inequality to prove several important theorems.
出处 《陕西教育学院学报》 2010年第3期90-92,共3页 Journal of Shaanxi Institute of Education
关键词 Tiling对 谱对 填充对 tiling pair spectral pair packing pair
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