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Product Code:  CONM/665 
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Softcover ISBN:  9781470419882 
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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