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Ultrametric functional analysis : Seventh International Conference on p-adic Functional Analysis, June 17-21, 2002, University of Nijmegen, the Netherlands / W.H. Schikhof, C. Perez-Garcia, A. Escassut, editors.
- Format:
- Book
- Conference/Event
- Conference Name:
- International Conference on p-Adic Functional Analysis (7th : 2002 : Nijmegen, Netherlands), issuing body.
- International Conference on p-Adic Functional Analysis
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 319.
- Contemporary mathematics, 0271-4132 ; 319
- Language:
- English
- Subjects (All):
- p-adic analysis--Congresses.
- p-adic analysis.
- Physical Description:
- 1 online resource (434 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2003]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents""; ""Preface""; ""Non-archimedean integral operators on the space of continuous functions""; ""Isomorphisms with small bound between spaces of p-adic continuous functions""; ""Automatic continuity of basis separating maps""; ""Cauchy theory on Levi-Civita fields""; ""Uniqueness problems and applications of the ultrametric Nevanlinna theory""; ""The Hopf algebra structure of the space of continuous functions on power series over Fq and Carlitz polynomials""; ""Metrizability of compactoid sets in non-archimedean Hausdorff (LM)-spaces""
- ""A theorem on summability factors for regular methods in complete ultrametric fields""""Hilbert-like spaces over Krull valued fields""; ""Compact operators on non-classical Hilbert spaces""; ""Locally convex spaces over non-archimedean valued fields""; ""Finite-dimensional orthocomplemented subspaces in p-adic normed spaces""; ""Systems of differential equations over valued fields""; ""Bi-analytic elements and partial isometries of hyperbolic space""; ""1. Introduction.""; ""2. Preliminaries.""; ""3. Hyperbolic Space.""; ""4. Distance Î? on Cp U HP.""; ""5. Geometry of Cp U Hp.""
- ""Dynamical systems in unramified or totally ramified extensions of the p-adic number field""""p-adic analysis and the calculus of finite differences""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7909-X
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