On P -orderings, Rings of Integer-valued Polynomials, and Ultrametric Analysis
نویسنده
چکیده
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
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