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检索条件"主题词=p-adic subanalytic functions"
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LIpSCHITZ CONTINUITY pROpERTIES FOR p-adic SEMI-ALGEBRAIC AND subanalytic functions
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GEOMETRIC AND FUNCTIONAL ANALYSIS 2010年 第1期20卷 68-87页
作者: Cluckers, Raf Comte, Georges Loeser, Francois Univ Lille 1 Lab Painleve CNRS UMR 8524 F-59655 Villeneuve Dascq France Katholieke Univ Leuven Dept Math B-3001 Leuven Belgium Univ Nice Sophia Antipolis Lab JA Dieudonne F-06108 Nice 02 France Ecole Normale Super Dept Math & Applicat CNRS UMR 8553 F-75230 Paris 05 France
We prove that a (globally) subanalytic function f : X subset of Q(p)(n) -> Q(p) which is locally Lipschitz continuous with some constant C is piecewise (globally on each piece) Lipschitz continuous with possibly so... 详细信息
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Approximations and Lipschitz continuity in p-adic semi-algebraic and subanalytic geometry
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SELECTA MATHEMATICA-NEW SERIES 2012年 第4期18卷 825-837页
作者: Cluckers, Raf Halupczok, Immanuel Univ Lille 1 Lab Painleve CNRS UMR 8524 F-59655 Villeneuve Dascq France Katholieke Univ Leuven Dept Math B-3001 Louvain Belgium Univ Munster Inst Math Log & Grundlagenforsch D-48149 Munster Germany
It is known that a p-adic, locally Lipschitz continuous semi-algebraic function, is piecewise Lipschitz continuous, where finitely many pieces suffice and the pieces can be taken semi-algebraic. We prove that if the f... 详细信息
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A DEFINABLE p-adic ANALOGUE OF KIRSZBRAUN'S THEOREM ON EXTENSIONS OF LIpSCHITZ MApS
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JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU 2018年 第1期17卷 39-57页
作者: Cluckers, Raf Martin, Florent Univ Lille Lab Painleve CNRS UMR 8524 F-59655 Villeneuve Dascq France Katholieke Univ Leuven Dept Math Celestijnenlaan 200B B-3001 Leuven Belgium Univ Regensburg Fak Math D-93040 Regensburg Germany
A direct application of Zorn's Lemma gives that every Lipschitz map f : X subset of Q(p)(n) -> Q(p)(l) has an extension to a Lipschitz map (f) over tilde : Q(p)(n) -> Q(p)(l). This is analogous, but more eas... 详细信息
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