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Ultrametric functional analysis : [electronic resource] Seventh International Conference on p-Adic Functional Analysis, June 17-21, 2002, University of Nijmegen, the Netherlands / W.H. Schikhof, C. Perez-Garcia, A. Escassut, editors.

By: (7th : International Conference on p-Adic Functional Analysis (7th : 2002 : Nijmegen, Netherlands)Contributor(s): Schikhof, Wilhelmus Hendricus | Perez-Garcia, C, 1956- | Escassut, AlainMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 319.Publication details: Providence, R.I. : American Mathematical Society, c2003Description: 1 online resource (ix, 422 p.)ISBN: 9780821879092 (online)Subject(s): p-adic analysis -- CongressesAdditional physical formats: Ultrametric functional analysis :DDC classification: 512/.74 LOC classification: QA241 | .I585 2002Online resources: Contents | Contents

Contents:

Non-Archimedean integral operators on the space of continuous functions / Jos�e Aguayo and Miguel Nova -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05561 Isomorphisms with small bound between spaces of $p$-adic continuous functions / Jes�us Araujo -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05562 Automatic continuity of basis separating maps / Edward Beckenstein and Lawrence Narici -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05563 Cauchy theory on Levi-Civita fields / Martin Berz -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05564 Uniqueness problems and applications of the ultrametric Nevanlinna theory / Abdelbaki Boutabaa and Alain Escassut -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05565 The Hopf algebra structure of the space of continuous functions on power series over $\Bbb F_q$ and Carlitz polynomials / Bertin Diarra -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05566 Metrizability of compactoid sets in non-Archimedean Hausdorff (LM)-spaces / N. De Grande-De Kimpe, J. Kakol and C. Perez-Garcia -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05567 Strict topologies and vector-measures on non-Archimedean spaces / A. K. Katsaras -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05568 $p$-adic spaces with strict topologies as topological algebras / A. K. Katsaras and C. G. Petalas -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05569 Non-Archimedean stochastic processes / Andrei Khrennikov and Sergei Ludkovsky -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05570 The asymptotic number of periodic points of discrete polynomial $p$-adic dynamical systems / Andrei Khrennikov, Marcus Nilsson and Robert Nyqvist -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05571 Analysis and probability over infinite extensions of a local field. II. A multiplicative theory / Anatoly N. Kochubei -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05572 The Hahn-Banach subspaces of Banach spaces with base / Albert Kubzdela -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05573 On metrically universal ultrametric spaces $LV_\tau $ and $LW_\tau $ / Alex J. Lemin and Vladimir Lemin -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05574 Gelfand transform and spectral radius formulae for ultrametric Banach algebras / Nicolas Ma�inetti -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05575 A theorem on summability factors for regular methods in complete ultrametric fields / P. N. Natarajan -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05576 Hilbert-like spaces over Krull valued fields / H. Ochsenius -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05577 Compact operators on non-classical Hilbert spaces / H. Ochsenius and W. H. Schikhof -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05578 Locally convex spaces over non-Archimedean valued fields / C. Perez-Garcia -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05579 Finite-dimensional orthocomplemented subspaces in $p$-adic normed spaces / C. Perez-Garcia and W. H. Schikhof -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05580 Systems of differential equations over valued fields / Sibylla Priess-Crampe and Paulo Ribenboim -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05581 Bi-analytic elements and partial isometries of hyperbolic space / Juan Rivera-Letelier -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05587 Analytic roots of solutions of $p$-adic differential equations / Marie-Claude Sarmant -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05582 Measure theory and integration on the Levi-Civita field / Khodr Shamseddine and Martin Berz -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05583 On block basic sequences in non-Archimedean Fr�echet spaces / Wies�aw �Sliwa -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05584 Dynamical systems in unramified or totally ramified extensions of the $p$-adic number field / Per-Anders Svensson -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05585 $p$-adic analysis and the calculus of finite differences / Lucien van Hamme -- http://www.ams.org/conm/319/ http://dx.doi.org/10.1090/conm/319/05586

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Includes bibliographical references.

Non-Archimedean integral operators on the space of continuous functions / Jos�e Aguayo and Miguel Nova -- Isomorphisms with small bound between spaces of $p$-adic continuous functions / Jes�us Araujo -- Automatic continuity of basis separating maps / Edward Beckenstein and Lawrence Narici -- Cauchy theory on Levi-Civita fields / Martin Berz -- Uniqueness problems and applications of the ultrametric Nevanlinna theory / Abdelbaki Boutabaa and Alain Escassut -- The Hopf algebra structure of the space of continuous functions on power series over $\Bbb F_q$ and Carlitz polynomials / Bertin Diarra -- Metrizability of compactoid sets in non-Archimedean Hausdorff (LM)-spaces / N. De Grande-De Kimpe, J. Kakol and C. Perez-Garcia -- Strict topologies and vector-measures on non-Archimedean spaces / A. K. Katsaras -- $p$-adic spaces with strict topologies as topological algebras / A. K. Katsaras and C. G. Petalas -- Non-Archimedean stochastic processes / Andrei Khrennikov and Sergei Ludkovsky -- The asymptotic number of periodic points of discrete polynomial $p$-adic dynamical systems / Andrei Khrennikov, Marcus Nilsson and Robert Nyqvist -- Analysis and probability over infinite extensions of a local field. II. A multiplicative theory / Anatoly N. Kochubei -- The Hahn-Banach subspaces of Banach spaces with base / Albert Kubzdela -- On metrically universal ultrametric spaces $LV_\tau $ and $LW_\tau $ / Alex J. Lemin and Vladimir Lemin -- Gelfand transform and spectral radius formulae for ultrametric Banach algebras / Nicolas Ma�inetti -- A theorem on summability factors for regular methods in complete ultrametric fields / P. N. Natarajan -- Hilbert-like spaces over Krull valued fields / H. Ochsenius -- Compact operators on non-classical Hilbert spaces / H. Ochsenius and W. H. Schikhof -- Locally convex spaces over non-Archimedean valued fields / C. Perez-Garcia -- Finite-dimensional orthocomplemented subspaces in $p$-adic normed spaces / C. Perez-Garcia and W. H. Schikhof -- Systems of differential equations over valued fields / Sibylla Priess-Crampe and Paulo Ribenboim -- Bi-analytic elements and partial isometries of hyperbolic space / Juan Rivera-Letelier -- Analytic roots of solutions of $p$-adic differential equations / Marie-Claude Sarmant -- Measure theory and integration on the Levi-Civita field / Khodr Shamseddine and Martin Berz -- On block basic sequences in non-Archimedean Fr�echet spaces / Wies�aw �Sliwa -- Dynamical systems in unramified or totally ramified extensions of the $p$-adic number field / Per-Anders Svensson -- $p$-adic analysis and the calculus of finite differences / Lucien van Hamme --