Add to ORKGIn this paper, we prove an extension of Mahler’s theorem, a celebrated result of p-adic analysis. Mahler’s original result states that a function from N to Z is uniformly continuous for the p-adic metric dp if and only if it can be uniformly approximated by polynomial functions. We prove the same result for functions from A ∗ to Z, where dp is now the profinite metric defined by p-groups (pro-p metric)
AbstractIn a recent paper (Buium et al., 2011 [3]), Buium et al. proved that f is a locally analytic...
AbstractIn this work, questions about interpolation and approximation of a continuous function f:Zp→...
Abstract. We will give a new proof of the Lebesgue-Radon-Nikodym theorem with re-spect to weighted p...
In this paper, we prove an extension of Mahler\u27s theorem, a celebrated result of $p$-adic anal...
International audienceIn this paper, we prove an extension of Mahler's theorem, a celebrated result ...
This is a survey article on the combinatorial aspects of the p-adic metric and p-adic topology on wo...
International audienceLet p be a prime number and let G_p be the variety of all languages recognised...
AbstractWe examine a q-analogue of Mahler expansions for continuous functions in p-adic analysis, re...
AbstractA p-adic-valued function on the p-adic integers has a continuous derivative, Mahler showed, ...
We study classes of continuous functions on Rn that can be approx-imated in various degree by unifor...
The theory of metric Diophantine approximation can be studied from many dierent perspectives. The p...
A famous theorem of Weierstrass states that every continuous function on the closed unit interval [0...
AbstractGiven a rational functionRand a real numberp⩾1, we definehp(R) as theLpnorm of max{log|R|, 0...
In this thesis we present the results of four years of research on some aspects of p-adic geometry. ...
We prove an analog of the Yomdin–Gromov lemma for p-adic definable sets and more broadly in a non-Ar...
AbstractIn a recent paper (Buium et al., 2011 [3]), Buium et al. proved that f is a locally analytic...
AbstractIn this work, questions about interpolation and approximation of a continuous function f:Zp→...
Abstract. We will give a new proof of the Lebesgue-Radon-Nikodym theorem with re-spect to weighted p...
In this paper, we prove an extension of Mahler\u27s theorem, a celebrated result of $p$-adic anal...
International audienceIn this paper, we prove an extension of Mahler's theorem, a celebrated result ...
This is a survey article on the combinatorial aspects of the p-adic metric and p-adic topology on wo...
International audienceLet p be a prime number and let G_p be the variety of all languages recognised...
AbstractWe examine a q-analogue of Mahler expansions for continuous functions in p-adic analysis, re...
AbstractA p-adic-valued function on the p-adic integers has a continuous derivative, Mahler showed, ...
We study classes of continuous functions on Rn that can be approx-imated in various degree by unifor...
The theory of metric Diophantine approximation can be studied from many dierent perspectives. The p...
A famous theorem of Weierstrass states that every continuous function on the closed unit interval [0...
AbstractGiven a rational functionRand a real numberp⩾1, we definehp(R) as theLpnorm of max{log|R|, 0...
In this thesis we present the results of four years of research on some aspects of p-adic geometry. ...
We prove an analog of the Yomdin–Gromov lemma for p-adic definable sets and more broadly in a non-Ar...
AbstractIn a recent paper (Buium et al., 2011 [3]), Buium et al. proved that f is a locally analytic...
AbstractIn this work, questions about interpolation and approximation of a continuous function f:Zp→...
Abstract. We will give a new proof of the Lebesgue-Radon-Nikodym theorem with re-spect to weighted p...
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