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Advances in ultrametric analysis : [electronic resource] 12th International Conference on p-adic Functional Analysis, July 2-6, 2012, University of Manitoba, Winnipeg, Canada / Khodr Shamseddine, editor.

By: (12th : International Conference on p-adic Functional Analysis (12th : 2012 : Winnipeg, Man.)Contributor(s): Shamseddine, Khodr, 1966- [editor of compilation.]Material type: Text

TextSeries: Contemporary mathematics ; v. 596Publisher: Providence, Rhode Island : American Mathematical Society, [2013]Description: 1 online resource (viii, 291 pages)Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470410247 (online)Subject(s): Functional analysis -- Congresses | p-adic analysis -- Congresses | Functional analysis -- Other (nonclassical) types of functional analysis -- Functional analysis over fields other than $ | Functions of a complex variable -- Generalized function theory -- Non-Archimedean function theory | Field theory and polynomials -- Topological fields -- Non-Archimedean valued fields | Several complex variables and analytic spaces -- Non-Archimedean analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) -- Non-Archimedean analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) | Real functions -- Miscellaneous topics -- Non-Archimedean analysis | Number theory -- Algebraic number theory: local and $p$-adic fields -- Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.) | Functions of a complex variable -- Entire and meromorphic functions, and related topics -- Distribution of values, Nevanlinna theory | Operator theory -- Linear spaces and algebras of operators -- Algebras of operators on Banach spaces and other topological linear spaces | Functional analysis -- Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) -- Vector-valued measures and integration | Order, lattices, ordered algebraic structures -- Ordered structures -- Ordered semigroups and monoidsAdditional physical formats: Advances in ultrametric analysis :DDC classification: 515/.7 LOC classification: QA319 | .I58 2012Other classification: 46S10 | 30G06 | 12J25 | 32P05 | 26E30 | 11S80 | 30D35 | 47L10 | 46G10 | 06F05 Online resources: Contents | Contents

Contents:

Affine Invariant Measures in Levi-Civita Vector Spaces and the Erd�os Obtuse Angle Theorem / Martin Berz and Sebastian Troncoso -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11936 Some old and new results on zeros of the derivative of a $p$-adic meromorphic function / Jean-Paul B�ezivin, Kamal Boussaf and Alain Escassut -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11925 Survey on $p$-adic meromorphic functions $f'P'(f), g'P'(g)$ sharing a small function and additional properties / Kamal Boussaf, Alain Escassut and Jacqueline Ojeda -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11924 The $p$-adic $q$-distributions / Bertin Diarra -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11902 Morphisms between ultrametric Banach algebras and maximal ideals of finite codimension / Alain Escassut and Nicolas Ma�inetti -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11923 Survey on branched values and exceptional values for $p$-adic meromorphic functions / Alain Escassut and Jacqueline Ojeda -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11922 Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields / Helge Gl�ockner -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11926 Integral Representations of Continuous Linear Maps On $p$-adic Spaces of Continuous Functions / Athanasios K. Katsaras -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11901 Subfields of valued, complete fields / Hans A. Keller -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11900 On some classes of non-Archimedean operator algebras / Anatoly N. Kochubei -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11896 Some identities and congruences for Stirling numbers of the second kind / Hamadoun Ma�iga and Fana Tangara -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11904 Non-measurable sets in the Levi-Civita field / H�ector M. Moreno -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11899 Partial Fractional Differentiability / Enno Nagel -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11911 A Generalized Keller space over a field with a valuation of rank $\alpha >\omega $ / Herminia Ochsenius and Elena Olivos -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11913 A comprehensive survey of non-archimedean analysis in Banach spaces over fields with an infinite rank valuation / Herminia Ochsenius and Elena Olivos -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11917 All proper multiplications on the completion of a totally ordered abelian group / Elena Olivos and Wim H. Schikhof -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11918 The Grothendieck approximation theory in non-Archimedean Functional Analysis / Cristina Perez-Garcia -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11910 A brief survey of the study of power series and analytic functions on the Levi-Civita fields / Khodr Shamseddine -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11897 On non-Archimedean generalized power series spaces / Wies�aw �Sliwa -- http://www.ams.org/conm/596/ http://dx.doi.org/10.1090/conm/596/11903

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Includes bibliographical references.

Affine Invariant Measures in Levi-Civita Vector Spaces and the Erd�os Obtuse Angle Theorem / Martin Berz and Sebastian Troncoso -- Some old and new results on zeros of the derivative of a $p$-adic meromorphic function / Jean-Paul B�ezivin, Kamal Boussaf and Alain Escassut -- Survey on $p$-adic meromorphic functions $f'P'(f), g'P'(g)$ sharing a small function and additional properties / Kamal Boussaf, Alain Escassut and Jacqueline Ojeda -- The $p$-adic $q$-distributions / Bertin Diarra -- Morphisms between ultrametric Banach algebras and maximal ideals of finite codimension / Alain Escassut and Nicolas Ma�inetti -- Survey on branched values and exceptional values for $p$-adic meromorphic functions / Alain Escassut and Jacqueline Ojeda -- Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields / Helge Gl�ockner -- Integral Representations of Continuous Linear Maps On $p$-adic Spaces of Continuous Functions / Athanasios K. Katsaras -- Subfields of valued, complete fields / Hans A. Keller -- On some classes of non-Archimedean operator algebras / Anatoly N. Kochubei -- Some identities and congruences for Stirling numbers of the second kind / Hamadoun Ma�iga and Fana Tangara -- Non-measurable sets in the Levi-Civita field / H�ector M. Moreno -- Partial Fractional Differentiability / Enno Nagel -- A Generalized Keller space over a field with a valuation of rank $\alpha >\omega $ / Herminia Ochsenius and Elena Olivos -- A comprehensive survey of non-archimedean analysis in Banach spaces over fields with an infinite rank valuation / Herminia Ochsenius and Elena Olivos -- All proper multiplications on the completion of a totally ordered abelian group / Elena Olivos and Wim H. Schikhof -- The Grothendieck approximation theory in non-Archimedean Functional Analysis / Cristina Perez-Garcia -- A brief survey of the study of power series and analytic functions on the Levi-Civita fields / Khodr Shamseddine -- On non-Archimedean generalized power series spaces / Wies�aw �Sliwa --