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Van der Put basis and p-adic dynamics

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Abstract

We consider a function g: Z p → Z p and its the van der Put series. Then we get a criteria of Haar’s measure preserving compatible p-adic functions which, actually, need not be uniformly differentiable modulo p. This is used to study ergodicity of p-adic dynamical systems [2, 16].

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Authors and Affiliations

  1. International Center for Mathematical Modeling in Physics, Engineering, Economics, and Cognitive Science School of Computer Science, Physics and Mathematics Linnaeus University, Växjö, S-35195, Sweden

    Ekaterina Yurova

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  1. Ekaterina Yurova
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Correspondence to Ekaterina Yurova.

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Yurova, E. Van der Put basis and p-adic dynamics. P-Adic Num Ultrametr Anal Appl 2, 175–178 (2010). https://doi.org/10.1134/S207004661002007X

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  • DOI: https://doi.org/10.1134/S207004661002007X

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