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| 摘要: |
| 本文研究了Qpd上的tiling集和谱的一个刻画.利用函数tiling，正交性与填充之间的关系，得到：如果Λn ⊂ Qpd是弱收敛于集合Λ的一个一致离散集合序列，并且对任意n，集合序列Λn是一个tiling集（或谱），那么Λ也是一个tiling集（或谱）. |
| 关键词: p-进域 弱收敛 谱 tile |
| DOI： |
| 分类号:O174.2 |
| 基金项目:喀什大学博士专项基金资助项目（（15）2545）. |
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| A CHARACTERIZATION OF SPECTRA AND TILING SETS ON THE p-ADIC FIELDS |
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MAMATELI Kadir
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| Abstract: |
| In this paper, we study a characterization of spectra and tiling sets on Qpd. By using the tiling by functions and the relationship between orthogonality and packing, we obtain that for a sequence of uniformly discrete sets Λn ⊂ Qpd, which converge weakly to a set Λ, if Λn is a tiling set (or a spectrum) for every n, then Λ is also a tiling set (or a spectrum). |
| Key words: p-adic number field weak convergence spectral set tile |
