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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 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.
ReadershipGraduate students and research mathematicians interested in analysis in non-Archimedian domains.
-
Table of Contents
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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
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
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
