Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Advances in Non-Archimedean Analysis
 
Edited by: Helge Glöckner Universität Paderborn, Paderborn, Germany
Alain Escassut Université Blaise Pascal, Aubière, France
Khodr Shamseddine University of Manitoba, Winnipeg, Manitoba, Canada
Advances in Non-Archimedean Analysis
Softcover ISBN:  978-1-4704-1988-2
Product Code:  CONM/665
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-3204-1
Product Code:  CONM/665.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1988-2
eBook: ISBN:  978-1-4704-3204-1
Product Code:  CONM/665.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Advances in Non-Archimedean Analysis
Click above image for expanded view
Advances in Non-Archimedean Analysis
Edited by: Helge Glöckner Universität Paderborn, Paderborn, Germany
Alain Escassut Université Blaise Pascal, Aubière, France
Khodr Shamseddine University of Manitoba, Winnipeg, Manitoba, Canada
Softcover ISBN:  978-1-4704-1988-2
Product Code:  CONM/665
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-3204-1
Product Code:  CONM/665.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1988-2
eBook ISBN:  978-1-4704-3204-1
Product Code:  CONM/665.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: 6652016; 335 pp
    MSC: Primary 46; 30; 32; 26; 47; 22; 37;

    This volume contains the Proceedings of the 13th International Conference on \(p\)-adic Functional Analysis, held from August 12–16, 2014, at the University of Paderborn, Paderborn, Germany.

    The articles included in this book feature recent developments in various areas of non-Archimedean analysis, non-Archimedean functional analysis, representation theory, number theory, non-Archimedean dynamical systems and applications.

    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 research mathematicians interested in analysis in non-Archimedian domains.

  • Table of Contents
     
     
    • Articles
    • J. Aguayo and M. Nova — Compact self-adjoint operators on free Banach spaces of countable type
    • O. F. Casas-Sánchez, J. Galeano-Peñaloza and J. J. Rodríguez-Vega — Fundamental solutions of pseudodifferential equations associated with quadratic forms in even dimension
    • Toka Diagana and Francois Ramaroson — Spectral theory for finite rank perturbations of unbounded diagonal operators in non-Archimedean Hilbert space
    • Bertin Diarra and Tongobè Mounkoro — Ultrametric continuous linear representations of the compact groups $SL(2, \mathbb {Z}_p)$ and $GL(2, \mathbb {Z}_p )$
    • Alain Escassut and Jacqueline Ojeda — Survey on the $p$-adic Hayman conjecture
    • Helge Glöckner — Invariant manifolds for finite-dimensional non-Archimedean dynamical systems
    • J. Ka̧kol and A. Kubzdela — On non-Archimedean quantitative compactness theorems
    • Hans A. Keller — Large linear spaces of invertible operators on a Banach space
    • A. Yu. Khrennikov, K. Oleschko and M. de Jesús Correa López — Applications of $p$-adic numbers: from physics to geology
    • Junghun Lee — An alternative proof of the non-Archimedean Montel theorem for polynomial dynamics
    • Hamadoun Maïga and Hamadoun MAÏGA — New identities and congruences for Euler numbers.
    • Hamza Menken and Abdulkadir Aşan — On some transcendental values of the $p$-adic gamma function
    • Héctor M. Moreno — The implicit function theorem on a field $K$ with an infinite rank valuation
    • Enno Nagel — Fractional differentiability and unitarity on parabolic inductions
    • H. Ochsenius, E. Olivos and C. Perez-Garcia — Wim Schikhof: our colleague and friend
    • Andrea Pulita — Solvability of rank one $p$-adic differential and $q$-difference equations over the Amice ring
    • W. H. Schikhof and E. Olivos — A note on Banach spaces over a rank 1 discretely valued field
    • Khodr Shamseddine and Darren Flynn — Measure theory and Lebesgue-like integration in two and three dimensions over the Levi-Civita field
    • Wiesław Śliwa and Agnieszka Ziemkowska — On complemented subspaces of 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: 6652016; 335 pp
MSC: Primary 46; 30; 32; 26; 47; 22; 37;

This volume contains the Proceedings of the 13th International Conference on \(p\)-adic Functional Analysis, held from August 12–16, 2014, at the University of Paderborn, Paderborn, Germany.

The articles included in this book feature recent developments in various areas of non-Archimedean analysis, non-Archimedean functional analysis, representation theory, number theory, non-Archimedean dynamical systems and applications.

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 research mathematicians interested in analysis in non-Archimedian domains.

  • Articles
  • J. Aguayo and M. Nova — Compact self-adjoint operators on free Banach spaces of countable type
  • O. F. Casas-Sánchez, J. Galeano-Peñaloza and J. J. Rodríguez-Vega — Fundamental solutions of pseudodifferential equations associated with quadratic forms in even dimension
  • Toka Diagana and Francois Ramaroson — Spectral theory for finite rank perturbations of unbounded diagonal operators in non-Archimedean Hilbert space
  • Bertin Diarra and Tongobè Mounkoro — Ultrametric continuous linear representations of the compact groups $SL(2, \mathbb {Z}_p)$ and $GL(2, \mathbb {Z}_p )$
  • Alain Escassut and Jacqueline Ojeda — Survey on the $p$-adic Hayman conjecture
  • Helge Glöckner — Invariant manifolds for finite-dimensional non-Archimedean dynamical systems
  • J. Ka̧kol and A. Kubzdela — On non-Archimedean quantitative compactness theorems
  • Hans A. Keller — Large linear spaces of invertible operators on a Banach space
  • A. Yu. Khrennikov, K. Oleschko and M. de Jesús Correa López — Applications of $p$-adic numbers: from physics to geology
  • Junghun Lee — An alternative proof of the non-Archimedean Montel theorem for polynomial dynamics
  • Hamadoun Maïga and Hamadoun MAÏGA — New identities and congruences for Euler numbers.
  • Hamza Menken and Abdulkadir Aşan — On some transcendental values of the $p$-adic gamma function
  • Héctor M. Moreno — The implicit function theorem on a field $K$ with an infinite rank valuation
  • Enno Nagel — Fractional differentiability and unitarity on parabolic inductions
  • H. Ochsenius, E. Olivos and C. Perez-Garcia — Wim Schikhof: our colleague and friend
  • Andrea Pulita — Solvability of rank one $p$-adic differential and $q$-difference equations over the Amice ring
  • W. H. Schikhof and E. Olivos — A note on Banach spaces over a rank 1 discretely valued field
  • Khodr Shamseddine and Darren Flynn — Measure theory and Lebesgue-like integration in two and three dimensions over the Levi-Civita field
  • Wiesław Śliwa and Agnieszka Ziemkowska — On complemented subspaces of 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
Please select which format for which you are requesting permissions.