Ultrametric functional analysis : Eighth International Conference on p-adic Functional Analysis, July 5-9, 2004, Université Blaise Pascal, Clermont-Ferrand, France
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Bibliographic Information
Ultrametric functional analysis : Eighth International Conference on p-adic Functional Analysis, July 5-9, 2004, Université Blaise Pascal, Clermont-Ferrand, France
（Contemporary mathematics, v. 384）
American Mathematical Society, c2005
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Includes bibliographical references
Description and Table of Contents
Description
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 (Clemont-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, functional analysis, and algebra.
Table of Contents
Vector measures and integral operators in the nonarchimedean setting by J. Aguayo On the dual space for the strict topology $\beta_1$ and the space $M(X)$ in function space by J. Aguayo, A. K. Katsaras, and S. Navarro Perturbation of a $p$-adic dynamical system in two variables by J. Aguayo, J. Gomez, M. Saavedra, and M. Wallace Isomorphisms with small bound between spaces of $p$-adic continuous functions II by J. Araujo Ultrametric $q$-calculus by B. Diarra Strictness and closedness in $p$-adic inductive limits by N. De Grande-De Kimpe and C. Perez-Garcia A note on Browkin-Brzezinski conjecture by P.-C. Hu and C.-C. Yang Non-Archimedean integration and strict topologies by A. K. Katsaras Non-Archimedean orthomodular spaces and their residual spaces by H. A. Keller and H. O. A. Polylogarithms and a zeta function for finite places of a function field by A. N. Kochubei On finite-dimensional normed spaces over $C_p$ by A. Kubzdela A non-Archimedean inner product by L. Narici and E. Beckenstein Lipschitz operators on Banach spaces over Krull valued fields by H. Ochsenius and W. H. Schikhof Remarks on some theorems of functional analysis by S. Priess-Crampe Frobenius structure for rank one $p$-adic differential equations by A. Pulita The ultrametric spectrum as an ordered set by A. Salinier Analytic roots of rational functions whose poles are on the unit circle by M.-C. Sarmant $p$-adic Choquet theory by W. H. Schikhof The spherical completion of normed vector spaces over fields with valuations of arbitrary rank by E. Schorner On Kothe quotients of non-Archimedean Frechet spaces by W. Sliwa Unique range sets for non-Archimedean entire functions in positive characteristic fields by T. T. H. An and J. T.-Y. Wang Some continuous linear operators and orthogonal $q$-bases on the space of $p$-adic continuous functions defined on $\mathbb{Z}_p$ by F. Tangara Uniqueness polynomials, unique range sets and other uniqueness theorems by J. T.-Y. Wang.
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