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Advances in Ultrametric Analysis
 
Edited by: Khodr Shamseddine University of Manitoba, Winnipeg, Manitoba, Canada
Advances in Ultrametric Analysis
Softcover ISBN:  978-0-8218-9142-1
Product Code:  CONM/596
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
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
Softcover ISBN:  978-0-8218-9142-1
eBook: ISBN:  978-1-4704-1024-7
Product Code:  CONM/596.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Advances in Ultrametric Analysis
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Advances in Ultrametric Analysis
Edited by: Khodr Shamseddine University of Manitoba, Winnipeg, Manitoba, Canada
Softcover ISBN:  978-0-8218-9142-1
Product Code:  CONM/596
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
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
Softcover ISBN:  978-0-8218-9142-1
eBook ISBN:  978-1-4704-1024-7
Product Code:  CONM/596.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5962013; 291 pp
    MSC: 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.

    Readership

    Graduate students and researchers interested in non-archimedean analysis and related topics.

  • Table of Contents
     
     
    • 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5962013; 291 pp
MSC: 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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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