Contemporary Mathematics 2013; 291 pp; softcover Volume: 596 ISBN10: 0821891421 ISBN13: 9780821891421 List Price: US$100 Member Price: US$80 Order Code: CONM/596
 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 fields. 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. Readership Graduate students and researchers interested in nonarchimedean analysis and related topics. Table of Contents  M. Berz and S. Troncoso  Affine invariant measures in LeviCivita vector spaces and Erdös obtuse angle theorem
 J.P. Bézivin, K. Boussaf, and A. Escassut  Some old and new results on zeros of the derivative of a \(p\)adic meromorphic function
 K. Boussaf, A. Escassut, and J. Ojeda  Survey on \(p\)adic meromorphic functions \(f'P'(f), g'P'(g)\) sharing a small function and additional properties
 B. Diarra  The \(p\)adic \(q\)distributions
 A. Escassut and N. Maïnetti  Morphisms between ultrametric Banach algebras and maximal ideals of finite codimension
 A. Escassut and J. Ojeda  Survey on branched values and exceptional values for \(p\)adic meromorphic functions
 H. Glöckner  GrobmanHartman theorems for diffeomorphisms of Banach spaces over valued fields
 A. K. Katsaras  Integral representations of continuous linear maps on \(p\)adic spaces of continuous functions
 H. A. Keller  Subfields of valued, complete fields
 A. N. Kochubei  On some classes of nonArchimedean operator algebras
 H. Maïga and F. Tangara  Some identities and congruences for Stirling numbers of the second kind
 H. M. Moreno  Nonmeasurable sets in the LeviCivita field
 E. Nagel  Partial fractional differentiability
 H. Ochsenius and E. Olivos  A generalized space over a field with a valuation of rank \(\alpha >\omega\)
 H. Ochsenius and E. Olivos  A comprehensive survey of nonarchimedean analysis in Banach spaces over fields with an infinite rank valuation
 E. Olivos and W. H. Schikhof  All proper multiplications on the completion of a totally ordered albelian group
 C. PerezGarcia  The Grothendieck approximation theory in nonarchimedean functional analysis
 K. Shamseddine  A brief survey of the study of power series and analytic functions on the LeviCivita fields
 W. Śliwa  On nonarchimedean generalized power series spaces
