Advances in ultrametric analysis : 12th International Conference on padic Functional Analysis, July 26, 2012, University of Manitoba, Winnipeg, Canada
 Meeting
 International Conference on padic Functional Analysis (12th : 2012 : Winnipeg, Man.)
 Language
 English.
 Publication
 Providence, Rhode Island : American Mathematical Society, [2013]
 Physical description
 viii, 291 pages ; 26 cm.
 Series
 Contemporary mathematics (American Mathematical Society) v.596.
Access
Available online

Stacks

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QA241 .I585 2012

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QA241 .I585 2012
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Contributors
 Contributor
 Shamseddine, Khodr, 1966 editor of compilation.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 Affine invariant measures in LeviCivita vector spaces and Erdos obtuse angle theorem by M. Berz and S. Troncoso Some old and new results on zeros of the derivative of a $p$adic meromorphic function by J.P. Bezivin, K. Boussaf, and A. Escassut Survey on $p$adic meromorphic functions $f'P'(f), g'P'(g)$ sharing a small function and additional properties by K. Boussaf, A. Escassut, and J. Ojeda The $p$adic $q$distributions by B. Diarra Morphisms between ultrametric Banach algebras and maximal ideals of finite codimension by A. Escassut and N. Mainetti Survey on branched values and exceptional values for $p$adic meromorphic functions by A. Escassut and J. Ojeda GrobmanHartman theorems for diffeomorphisms of Banach spaces over valued fields by H. Glockner Integral representations of continuous linear maps on $p$adic spaces of continuous functions by A. K. Katsaras Subfields of valued, complete fields by H. A. Keller On some classes of nonArchimedean operator algebras by A. N. Kochubei Some identities and congruences for Stirling numbers of the second kind by H. Maiga and F. Tangara Nonmeasurable sets in the LeviCivita field by H. M. Moreno Partial fractional differentiability by E. Nagel A generalized space over a field with a valuation of rank $\alpha >\omega$ by H. Ochsenius and E. Olivos A comprehensive survey of nonarchimedean analysis in Banach spaces over fields with an infinite rank valuation by H. Ochsenius and E. Olivos All proper multiplications on the completion of a totally ordered albelian group by E. Olivos and W. H. Schikhof The Grothendieck approximation theory in nonarchimedean functional analysis by C. PerezGarcia A brief survey of the study of power series and analytic functions on the LeviCivita fields by K. Shamseddine On nonarchimedean generalized power series spaces by W. Sliwa.
 (source: Nielsen Book Data)
 Publisher's Summary
 This volume contains papers based on lectures given at the 12th International Conference on p adic Functional Analysis, which was held at the University of Manitoba on July 26, 2012. The articles included in this book feature recent developments in various areas of nonarchimedean analysis: branched values and zeros of the derivative of a $p$adic meromorphic function, p adic meromorphic functions $f^{\prime}P^{\prime}(f), g^{\prime}P^{\prime}(g)$ sharing a small function, properties of composition of analytic functions, partial fractional differentiability, morphisms between ultrametric Banach algebras of continuous functions and maximal ideals of finite dimension, the $p$adic $q$distributions, Banach spaces over fields with an infinite rank valuation, GrobmanHartman theorems for diffeomorphisms of Banach spaces over valued fields, integral representations of continuous linear maps on $p$adic spaces of continuous functions, nonArchimedean operator algebras, generalized Keller spaces over valued fields, proper multiplications on the completion of a totally ordered abelian group, the Grothendieck approximation theory in nonArchimedean functional analysis, generalized power series spaces, measure theory and the study of power series and analytic functions on the LeviCivita fileds. Through a combination of new research articles and survey papers, this book provides the reader with an overview of current developments and techniques in nonarchimedean analysis as well as a broad knowledge of some of the subareas of this exciting and fastdeveloping research area.
(source: Nielsen Book Data)
Subjects
 Subject
 Functional analysis > Congresses.
 padic analysis > Congresses.
 Functional analysis > Other (nonclassical) types of functional analysis > Functional analysis over fields other than $.
 Functions of a complex variable > Generalized function theory > NonArchimedean function theory.
 Field theory and polynomials > Topological fields > NonArchimedean valued fields.
 Several complex variables and analytic spaces > NonArchimedean analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem)NonArchimedean analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem)
 Real functions > Miscellaneous topics > NonArchimedean 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 infinitedimensional spaces) > Vectorvalued measures and integration.
 Order, lattices, ordered algebraic structures > Ordered structures > Ordered semigroups and monoids.
Bibliographic information
 Publication date
 2013
 Responsibility
 Khodr Shamseddine, editor.
 Series
 Contemporary mathematics ; 596
 ISBN
 9780821891421 (alk. paper)
 0821891421 (alk. paper)