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Softcover ISBN:  9781470419882 
Product Code:  CONM/665 
List Price:  $108.00 
MAA Member Price:  $97.20 
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Product Code:  CONM/665.E 
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MAA Member Price:  $97.20 
AMS Member Price:  $86.40 
Softcover ISBN:  9781470419882 
eBookISBN:  9781470432041 
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Book DetailsContemporary MathematicsVolume: 665; 2016; 335 ppMSC: 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 nonArchimedean analysis, nonArchimedean functional analysis, representation theory, number theory, nonArchimedean 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 nonArchimedean analysis as well as a broad knowledge of some of the subareas of this exciting and fastdeveloping research area.ReadershipGraduate students and research mathematicians interested in analysis in nonArchimedian domains.

Table of Contents

Articles

J. Aguayo and M. Nova  Compact selfadjoint operators on free Banach spaces of countable type

O. F. CasasSánchez, J. GaleanoPeñaloza and J. J. RodríguezVega  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 nonArchimedean 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 finitedimensional nonArchimedean dynamical systems

J. Ka̧kol and A. Kubzdela  On nonArchimedean 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 nonArchimedean 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. PerezGarcia  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 Lebesguelike integration in two and three dimensions over the LeviCivita field

Wiesław Śliwa and Agnieszka Ziemkowska  On complemented subspaces of nonArchimedean generalized power series spaces


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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 nonArchimedean analysis, nonArchimedean functional analysis, representation theory, number theory, nonArchimedean 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 nonArchimedean analysis as well as a broad knowledge of some of the subareas of this exciting and fastdeveloping research area.
Graduate students and research mathematicians interested in analysis in nonArchimedian domains.

Articles

J. Aguayo and M. Nova  Compact selfadjoint operators on free Banach spaces of countable type

O. F. CasasSánchez, J. GaleanoPeñaloza and J. J. RodríguezVega  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 nonArchimedean 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 finitedimensional nonArchimedean dynamical systems

J. Ka̧kol and A. Kubzdela  On nonArchimedean 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 nonArchimedean 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. PerezGarcia  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 Lebesguelike integration in two and three dimensions over the LeviCivita field

Wiesław Śliwa and Agnieszka Ziemkowska  On complemented subspaces of nonArchimedean generalized power series spaces