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portada Advances in Ultrametric Analysis
Type
Physical Book
Publisher
Author
Collection
Contemporary Mathematics
Year
2018
Language
English
Pages
296
Format
Paperback
Dimensions
25.4x17.8 cm
ISBN13
9781470434915

Advances in Ultrametric Analysis

Alain Escassut;Cristina Perez-Garcia;Khodr Shamseddine (Author) · American Mathematical Society · Paperback

Advances in Ultrametric Analysis - Alain Escassut;Cristina Perez-Garcia;Khodr Shamseddine

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Synopsis "Advances in Ultrametric Analysis"

Contains the proceedings of the 14th International Conference on $p$-adic Functional Analysis, held in July 2016, at the Universite d'Auvergne, Aurillac, France. 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.

This book contains the proceedings of the 14th International Conference on $p$-adic Functional Analysis, held from June 30-July 5, 2016, at the Universite 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 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 Köthe 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.

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