| eBook ISBN: | 978-1-4704-1024-7 |
| Product Code: | CONM/596.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-1-4704-1024-7 |
| Product Code: | CONM/596.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 596; 2013; 291 ppMSC: Primary 46; 30; 12; 32; 26; 11; 47; 06
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.
ReadershipGraduate students and researchers interested in non-archimedean analysis and related topics.
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Table of Contents
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Articles
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Martin Berz and Sebastian Troncoso — Affine Invariant Measures in Levi-Civita Vector Spaces and the Erdös Obtuse Angle Theorem
-
Jean-Paul Bézivin, Kamal Boussaf and Alain Escassut — Some old and new results on zeros of the derivative of a $p$-adic meromorphic function
-
Kamal Boussaf, Alain Escassut and Jacqueline Ojeda — Survey on $p$-adic meromorphic functions $f’P’(f),\ g’P’(g)$ sharing a small function and additional properties
-
Bertin Diarra — The $p$-adic $q$-distributions
-
Alain Escassut and Nicolas Maïnetti — Morphisms between ultrametric Banach algebras and maximal ideals of finite codimension
-
Alain Escassut and Jacqueline Ojeda — Survey on branched values and exceptional values for $p$-adic meromorphic functions
-
Helge Glöckner — Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields
-
Athanasios K. Katsaras — Integral Representations of Continuous Linear Maps On $p$-adic Spaces of Continuous Functions
-
Hans A. Keller — Subfields of valued, complete fields
-
Anatoly N. Kochubei — On some classes of non-Archimedean operator algebras
-
Hamadoun Maïga and Fana Tangara — Some identities and congruences for Stirling numbers of the second kind
-
Héctor M. Moreno — Non-measurable sets in the Levi-Civita field
-
Enno Nagel — Partial Fractional Differentiability
-
Herminia Ochsenius and Elena Olivos — 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
-
Elena Olivos and Wim H. Schikhof — All proper multiplications on the completion of a totally ordered abelian group
-
Cristina Perez-Garcia — The Grothendieck approximation theory in non-Archimedean Functional Analysis
-
Khodr Shamseddine — A brief survey of the study of power series and analytic functions on the Levi-Civita fields
-
Wiesław Śliwa — On non-Archimedean generalized power series spaces
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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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.
Graduate students and researchers interested in non-archimedean analysis and related topics.
-
Articles
-
Martin Berz and Sebastian Troncoso — Affine Invariant Measures in Levi-Civita Vector Spaces and the Erdös Obtuse Angle Theorem
-
Jean-Paul Bézivin, Kamal Boussaf and Alain Escassut — Some old and new results on zeros of the derivative of a $p$-adic meromorphic function
-
Kamal Boussaf, Alain Escassut and Jacqueline Ojeda — Survey on $p$-adic meromorphic functions $f’P’(f),\ g’P’(g)$ sharing a small function and additional properties
-
Bertin Diarra — The $p$-adic $q$-distributions
-
Alain Escassut and Nicolas Maïnetti — Morphisms between ultrametric Banach algebras and maximal ideals of finite codimension
-
Alain Escassut and Jacqueline Ojeda — Survey on branched values and exceptional values for $p$-adic meromorphic functions
-
Helge Glöckner — Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields
-
Athanasios K. Katsaras — Integral Representations of Continuous Linear Maps On $p$-adic Spaces of Continuous Functions
-
Hans A. Keller — Subfields of valued, complete fields
-
Anatoly N. Kochubei — On some classes of non-Archimedean operator algebras
-
Hamadoun Maïga and Fana Tangara — Some identities and congruences for Stirling numbers of the second kind
-
Héctor M. Moreno — Non-measurable sets in the Levi-Civita field
-
Enno Nagel — Partial Fractional Differentiability
-
Herminia Ochsenius and Elena Olivos — 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
-
Elena Olivos and Wim H. Schikhof — All proper multiplications on the completion of a totally ordered abelian group
-
Cristina Perez-Garcia — The Grothendieck approximation theory in non-Archimedean Functional Analysis
-
Khodr Shamseddine — A brief survey of the study of power series and analytic functions on the Levi-Civita fields
-
Wiesław Śliwa — On non-Archimedean generalized power series spaces
