On P-orderings, rings of integer-valued polynomials, and ultrametric analysis

On P-orderings, rings of integer-valued polynomials, and ultrametric analysis
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关于 P 阶、整数值多项式环和超量分析

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发表时间:
2009
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通讯作者:
M. Bhargava
M. Bhargava
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作者:
M. Bhargava

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内容1.简介963 2.一款名为967的游戏。Oní-Remoteí-Orderings 968 2.2.ℎ969.3.整值多项式环969 3.1.具有整值除差的多项式970 3.2。具有给定模数的整值多项式973 4.局部域紧子集上的光滑函数976 4.1.连续可微函数的Banach空间978 4.2.ℎ级局部解析函数的Banach空间5.结论和进一步结果
Contents 1. Introduction 963 2. A game called í µí±-orderings 967 2.1. On í µí±-removed í µí±-orderings 968 2.2. On í µí±-orderings of order ℎ 969 3. Rings of integer-valued polynomials 969 3.1. Polynomials with integer-valued divided differences 970 3.2. Integer-valued polynomials having a given modulus 973 4. Smooth functions on compact subsets of local fields 976 4.1. The Banach space of í µí±-times continuously differentiable functions 978 4.2. The Banach space of locally analytic functions of order ℎ 985 5. Conclusions and further results 990 Acknowledgments 992 References 992