**Contemporary Mathematics** 2013; 291 pp; softcover Volume: 596 ISBN-10: 0-8218-9142-1 ISBN-13: 978-0-8218-9142-1 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 2-6, 2012. The articles included in this book feature recent developments in various areas of non-archimedean 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, Grobman-Hartman theorems for diffeomorphisms of Banach spaces over valued fields, integral representations of continuous linear maps on \(p\)-adic spaces of continuous functions, non-Archimedean operator algebras, generalized Keller spaces over valued fields, proper multiplications on the completion of a totally ordered abelian group, the Grothendieck approximation theory in non-Archimedean functional analysis, generalized power series spaces, measure theory and the study of power series and analytic functions on the Levi-Civita 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 non-archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area. Readership Graduate students and researchers interested in non-archimedean analysis and related topics. |