Advances in Ultrametric Analysis

This book contains the proceedings of the 14th International Conference on p-adic Functional Analysis, held from June 30-July 4, 2016, at the Universit d'Auvergne, Aurillac, France. Articles included in this book feature recent developments in various areas of non-Archimedean analysis: summatio...

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Bibliographic Details
Main Authors:	Escassut, Alain, Perez-Garcia, Cristina, Shamseddine, Khodr
Format:	eBook
Language:	English
Published:	Providence American Mathematical Society 2018
Edition:	1
Subjects:	(Semi-) Fredholm operators Algebraic number theory: local and p-adic fields Arithmetic and non-Archimedean dynamical systems Convergence and divergence of infinite limiting processes Convergence and divergence of series and sequences of functions.-msc Distribution of values, Nevanlinna theory.-msc Dynamical systems and ergodic theory Entire and meromorphic functions, and related topics Field theory and polynomials Functional analysis Functional analysis over fields other than {f R} or {f C} or the quaternions Functional analysis-Congresses Functions of a complex variable General theory of linear operators index theories.-msc Non-Archimedean dynamical systems.-msc non-Archimedean functional analysis.-msc Non-Archimedean valued fields.-msc None of the above, but in this section.-msc Number theory Operator theory Order, lattices, ordered algebraic structures Ordered structures Other (nonclassical) types of functional analysis p-adic analysis-Congresses Polynomial and rational maps.-msc Sequences, series, summability Summability and bases.-msc Topological fields Topological linear spaces and related structures Valued fields.-msc
ISBN:	1470434911, 9781470434915
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Summary:	This book contains the proceedings of the 14th International Conference on p-adic Functional Analysis, held from June 30-July 4, 2016, at the Universit d'Auvergne, Aurillac, France. Articles included in this book feature recent developments in various areas of non-Archimedean analysis: summation of p-adic series, rational maps on the projective line over \mathbb{Q}p, non-Archimedean Hahn-Banach theorems, ultrametric Calkin algebras, G-modules with a convex base, non-compact Trace class operators and Schatten-class operators in p-adic Hilbert spaces, algebras of strictly differentiable functions, inverse function theorem and mean value theorem in Levi-Civita fields, ultrametric spectra of commutative non-unital Banach rings, classes of non-Archimedean K the spaces, p-adic Nevanlinna theory and applications, and sub-coordinate representation of p-adic functions. Moreover, a paper on the history of p-adic analysis with a comparative summary of non-Archimedean fields is presented. Through a combination of new research articles and a survey paper, 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.
ISBN:	1470434911 9781470434915