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- W2485287204 abstract "The goal of this chapter is the study of continuous functions on subsets of the p-adic field Q p with values in an extension of Q p. Since Q p admits a partition into clopen balls x + Z p (x ∈ Q p /Z p = Z[1/p]/Z), it is enough to study continuous functions on Z p. Thus, we shall typically study continuous functions Z p → C p . Since the natural numbers N form a dense subset of the ring Z p , we shall start by the study of functions on N or Z and with values in any abelian group." @default.
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- W2485287204 date "2000-01-01" @default.
- W2485287204 modified "2023-09-28" @default.
- W2485287204 title "Continuous Functions on Zp" @default.
- W2485287204 doi "https://doi.org/10.1007/978-1-4757-3254-2_4" @default.
- W2485287204 hasPublicationYear "2000" @default.
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