Contemporary Mathematics 2005; 369 pp; softcover Volume: 384 ISBN10: 0821836846 ISBN13: 9780821836842 List Price: US$109 Member Price: US$87.20 Order Code: CONM/384
 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 (ClermontFerrand, 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. Readership Graduate students and research mathematicians interested in number theory, functional analysis, and algebra. Table of Contents  J. Aguayo  Vector measures and integral operators in the nonarchimedean setting
 J. Aguayo, A. K. Katsaras, and S. Navarro  On the dual space for the strict topology \(\beta_1\) and the space \(M(X)\) in function space
 J. Aguayo, J. Goméz, M. Saavedra, and M. Wallace  Perturbation of a \(p\)adic dynamical system in two variables
 J. Araujo  Isomorphisms with small bound between spaces of \(p\)adic continuous functions II
 B. Diarra  Ultrametric \(q\)calculus
 N. De GrandeDe Kimpe and C. PerezGarcia  Strictness and closedness in \(p\)adic inductive limits
 P.C. Hu and C.C. Yang  A note on BrowkinBrzeziński conjecture
 A. K. Katsaras  NonArchimedean integration and strict topologies
 H. A. Keller and H. O. A.  NonArchimedean orthomodular spaces and their residual spaces
 A. N. Kochubei  Polylogarithms and a zeta function for finite places of a function field
 A. Kubzdela  On finitedimensional normed spaces over \(C_p\)
 L. Narici and E. Beckenstein  A nonArchimedean inner product
 H. Ochsenius and W. H. Schikhof  Lipschitz operators on Banach spaces over Krull valued fields
 S. PriessCrampe  Remarks on some theorems of functional analysis
 A. Pulita  Frobenius structure for rank one \(p\)adic differential equations
 A. Salinier  The ultrametric spectrum as an ordered set
 M.C. Sarmant  Analytic roots of rational functions whose poles are on the unit circle
 W. H. Schikhof  \(p\)adic Choquet theory
 E. Schörner  The spherical completion of normed vector spaces over fields with valuations of arbitrary rank
 W. Śliwa  On Köthe quotients of nonArchimedean Fréchet spaces
 T. T. H. An and J. T.Y. Wang  Unique range sets for nonArchimedean entire functions in positive characteristic fields
 F. Tangara  Some continuous linear operators and orthogonal \(q\)bases on the space of \(p\)adic continuous functions defined on \(\mathbb{Z}_p\)
 J. T.Y. Wang  Uniqueness polynomials, unique range sets and other uniqueness theorems
