Continuous Functions on Discrete Valuati
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Koichi Tateyama
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Article
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1999
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Elsevier Science
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English
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Let R be a complete discrete valuation ring with finite residue field, let K be its quotient field. We construct polynomial functions .(n, a)(n=0, 1, ...) such that any continuous function f from R into K has the following expansion where the sequence [a n ]/K is uniquely determined by f and satisf