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Título: Advances In Ultrametric Analysis | |
Autor: Khodr Shamseddine | Precio: $1562.86 | |
Editorial: American Mathematical Society | Año: 2013 | |
Tema: Matematicas | Edición: 1ª | |
Sinopsis | ISBN: 9780821891421 | |
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 ' P ' (f),g ' P ' (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. Table of Contents ¦M. Berz and S. Troncoso -- Affine invariant measures in Levi-Civita 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 -- Grobman-Hartman 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 non-Archimedean operator algebras ¦H. Maïga and F. Tangara -- Some identities and congruences for Stirling numbers of the second kind ¦H. M. Moreno -- Non-measurable sets in the Levi-Civita field ¦E. Nagel -- Partial fractional differentiability ¦H. Ochsenius and E. Olivos -- A generalized space over a field with a valuation of rank a>? ¦H. Ochsenius and E. Olivos -- A comprehensive survey of non-archimedean 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. Perez-Garcia -- The Grothendieck approximation theory in non-archimedean functional analysis ¦K. Shamseddine -- A brief survey of the study of power series and analytic functions on the Levi-Civita fields ¦W. Sliwa -- On non-archimedean generalized power series spaces |