Advances in non-Archimedean analysis : 13th International Conference p-adic Functional Analysis, August 12-16, 2014, University of Paderborn, Paderborn, Germany

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Advances in non-Archimedean analysis : 13th International Conference p-adic Functional Analysis, August 12-16, 2014, University of Paderborn, Paderborn, Germany

Helge Glöckner, Alain Escassut, Khodr Shamseddine, editors

(Contemporary mathematics, 665)

American Mathematical Society, c2016

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注記

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

Compact self-adjoint operators on free Banach spaces of countable type by J. Aguayo and M. Nova Fundamental solutions of pseudodifferential equations associated with quadratic forms in even dimension by O. F. Casas-Sanchez, J. Galeano-Penaloza, and J. J. Rodriguez-Vega Spectral theory for finite rank perturbations of unbounded diagonal operators in non-Archimedean Hilbert space by T. Diagana and F. Ramaroson Ultrametric continuous linear representations of the compact groups $SL(2,\mathbb{Z}_p)$ and $GL(2,\mathbb{Z}_p)$ by B. Diarra and T. Mounkoro Survey on the $p$-adic Hayman conjecture by A. Escassut and J. Ojeda Invariant manifolds for finite-dimensional non-Archimedean dynamical systems by H. Glockner On non-Archimedean quantitative compactness theorems by J. Kakol and A. Kubzdela Large linear spaces of invertible operators on a Banach space by H. A. Keller Applications of $p$-adic numbers: from physics to geology by A. Y. Khrennikov, K. Oleschko, and D. J. C. Correa Lopez An alternative proof of the non-Archimedean Montel theorem for polynomial dynamics by J. Lee New identities and congruences for Euler numbers by H. Maiga On some transcendental values of the $p$-adic gamma function by H. Menken and A. Asan The implicit function theorem on a field $K$ with an infinite rank valuation by H. M. Moreno Fractional differentiability and unitarity on parabolic inductions by E. Nagel Wim Schikhof: our colleague and friend by H. Ochsenius, E. Olivos, and C. Perez-Garcia Solvability of rank one $p$-adic differential and $q$-difference equations over the Amice ring by A. Pulita A note on Banach spaces over a rank 1 discretely valued field by W. H. Schikhof and E. Olivos Measure theory and Lebesgue-like integration in two and three dimensions over the Levi-Civita field by K. Shamseddine and D. Flynn On complemented subspaces of non-Archimedean generalized power series spaces by W. Sliwa and A. Ziemkowska

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