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Ultrametric functional analysis : Eighth International Conference on p-adic Functional Analysis, July 5-9, 2004, Université Blaise Pascal, Clermont-Ferrand, France / B. Diarra [and three others], editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- International Conference on p-Adic Functional Analysis, Corporate Author.
- Conference Name:
- International Conference on p-Adic Functional Analysis (8th : 2004 : Université Blaise Pascal), issuing body.
- International Conference on p-Adic Functional Analysis.
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 384.
- Contemporary mathematics, 0271-4132 ; 384
- Language:
- English
- Subjects (All):
- p-adic analysis--Congresses.
- p-adic analysis.
- Topological fields--Congresses.
- Topological fields.
- Physical Description:
- 1 online resource (384 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2005]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents""; ""Preface""; ""Vector measures and integral operators in the non-Archimedean setting""; ""On the dual space for the strict topology β1 and the space M(X) in function space""; ""Perturbation of a p-adic dynamical system in two variables""; ""Isomorphisms with small bound between spaces of p-adic continuous functions II""; ""Ultrametric q-calculus""; ""Strictness and closedness in p-adic inductive limits""; ""A note on Browkin-BrzeziÅ?ski conjecture""; ""Non-Archimedean integration and strict topologies""; ""Non-Archimedean orthomodular spaces and their residual spaces""
- ""Polylogarithms and a zeta function for finite places of a function field""""On finite-dimensional normed spaces over Cp""; ""A non-Archimedean inner product""; ""Lipschitz operators on Banach spaces over Krull valued fields""; ""Remarks on some theorems of functional analysis""; ""Frobenius structure for rank one p-adic differential equations""; ""The ultrametric spectrum as an ordered set""; ""Analytic roots of rational functions whose poles are on the unit circle""; ""p-adic Choquet Theory""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7974-X
- 0-8218-5717-7
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