Topics in Functional Analysis over Valued Division Rings
Author: J.B. Prolla
Publisher: Elsevier
Published: 2000-04-01
Total Pages: 301
ISBN-13: 9780080871882
DOWNLOAD EBOOK →Topics in Functional Analysis over Valued Division Rings
Lanterna Rally
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Functional Analysis and Valuation Theory
Author: Lawrence Narici
Publisher: CRC Press
Published: 1971-06-01
Total Pages: 212
ISBN-13: 9780824714840
DOWNLOAD EBOOK →This book presents functional analysis over arbitrary valued fields and investigates normed spaces and algebras over fields with valuation, with attention given to the case when the norm and the valuation are nonarchimedean. It considers vector spaces over fields with nonarchimedean valuation.
Advances in Non-Archimedean Analysis
Author: Jesus Araujo-Gomez
Publisher: American Mathematical Soc.
Published: 2011
Total Pages: 294
ISBN-13: 0821852914
DOWNLOAD EBOOK →These collected articles feature recent developments in various areas of non-Archimedean analysis: Hilbert and Banach spaces, finite dimensional spaces, topological vector spaces and operator theory, strict topologies, spaces of continuous functions and of strictly differentiable functions, isomorphisms between Banach functions spaces, and measure and integration.
Ultrametric Functional Analysis
Author: Bertin Diarra
Publisher: American Mathematical Soc.
Published: 2005
Total Pages: 384
ISBN-13: 0821836846
DOWNLOAD EBOOK →With contributions by leading mathematicians, this proceedings volume reflects the program of the Eighth International Conference on $p$-adic Functional Analysis held at Blaise Pascal University (Clermont-Ferrand, France). Articles in the book offer a comprehensive overview of research in the area. A wide range of topics are covered, including basic ultrametric functional analysis, topological vector spaces, measure and integration, Choquet theory, Banach and topological algebras,analytic functions (in particular, in connection with algebraic geometry), roots of rational functions and Frobenius structure in $p$-adic differential equations, and $q$-ultrametric calculus. The material is suitable for graduate students and researchers interested in number theory, functionalanalysis, and algebra.
p-adic Functional Analysis
Author: N. De Grande-De Kimpe
Publisher: CRC Press
Published: 1999-07-07
Total Pages: 350
ISBN-13: 9780824782542
DOWNLOAD EBOOK →A presentation of results in p-adic Banach spaces, spaces over fields with an infinite rank valuation, Frechet (and locally convex) spaces with Schauder bases, function spaces, p-adic harmonic analysis, and related areas. It showcases research results in functional analysis over nonarchimedean valued complete fields. It explores spaces of continuous functions, isometries, Banach Hopf algebras, summability methods, fractional differentiation over local fields, and adelic formulas for gamma- and beta-functions in algebraic number theory.
p-adic Functional Analysis
Author: W.H. Schikhof
Publisher: CRC Press
Published: 2020-11-25
Total Pages: 416
ISBN-13: 1000110060
DOWNLOAD EBOOK →"Contains research articles by nearly 40 leading mathematicians from North and South America, Europe, Africa, and Asia, presented at the Fourth International Conference on p-adic Functional Analysis held recently in Nijmegen, The Netherlands. Includes numerous new open problems documented with extensive comments and references."
P-Adic Functional Analysis
Author: A.K. Katsaras
Publisher: CRC Press
Published: 2001-07-03
Total Pages: 340
ISBN-13: 9780203908143
DOWNLOAD EBOOK →This volume collects together lectures presented at the Sixth International Conference held at the University of Ioannina, Greece, on p-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical systems, and algebraic number fields. It discusses the commutation relation AB-BA=I and its central role in quantum mechanics.
Ultrametric Functional Analysis
Author: Wilhelmus Hendricus Schikhof
Publisher: American Mathematical Soc.
Published: 2003
Total Pages: 434
ISBN-13: 0821833200
DOWNLOAD EBOOK →This volume contains research articles based on lectures given at the Seventh International Conference on $p$-adic Functional Analysis. The articles, written by leading international experts, provide a complete overview of the latest contributions in basic functional analysis (Hilbert and Banach spaces, locally convex spaces, orthogonality, inductive limits, spaces of continuous functions, strict topologies, operator theory, automatic continuity, measure and integrations, Banach and topological algebras, summability methods, and ultrametric spaces), analytic functions (meromorphic functions, roots of rational functions, characterization of injective holomorphic functions, and Gelfand transforms in algebras of analytic functions), differential equations, Banach-Hopf algebras, Cauchy theory of Levi-Civita fields, finite differences, weighted means, $p$-adic dynamical systems, and non-Archimedean probability theory and stochastic processes. The book is written for graduate students and research mathematicians. It also would make a good reference source for those in related areas, such as classical functional analysis, complex analytic functions, probability theory, dynamical systems, orthomodular spaces, number theory, and representations of $p$-adic groups.
Topological Algebras
Author: A. Mallios
Publisher: Elsevier
Published: 2011-08-18
Total Pages: 534
ISBN-13: 9780080872353
DOWNLOAD EBOOK →This volume is addressed to those who wish to apply the methods and results of the theory of topological algebras to a variety of disciplines, even though confronted by particular or less general forms. It may also be of interest to those who wish, from an entirely theoretical point of view, to see how far one can go beyond the classical framework of Banach algebras while still retaining substantial results. The need for such an extension of the standard theory of normed algebras has been apparent since the early days of the theory of topological algebras, most notably the locally convex ones. It is worth noticing that the previous demand was due not only to theoretical reasons, but also to potential concrete applications of the new discipline.
Advances in $p$-adic and Non-Archimedean Analysis
Author: M. Berz
Publisher: American Mathematical Soc.
Published: 2010-02-17
Total Pages: 281
ISBN-13: 0821847406
DOWNLOAD EBOOK →This volume contains the proceedings of the Tenth International Conference on $p$-adic and Non-Archimedean Analysis, held at Michigan State University in East Lansing, Michigan, on June 30-July 3, 2008. This volume contains a kaleidoscope of papers based on several of the more important talks presented at the meeting. It provides a cutting-edge connection to some of the most important recent developments in the field. Through a combination of survey papers, research articles, and extensive references to earlier work, this volume allows the reader to quickly gain an overview of current activity in the field and become acquainted with many of the recent sub-branches of its development.
