Contemporary Mathematics 2003; 422 pp; softcover Volume: 319 ISBN10: 0821833200 ISBN13: 9780821833209 List Price: US$109 Member Price: US$87.20 Order Code: CONM/319
 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, BanachHopf algebras, Cauchy theory of LeviCivita fields, finite differences, weighted means, \(p\)adic dynamical systems, and nonArchimedean 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. Readership Graduate students and research mathematicians interested in functional analysis, algebra, number theory, topology, theoretical physics and related areas. Table of Contents  J. Aguayo and M. Nova  Nonarchimedean integral operators on the space of continuous functions
 J. Araujo  Isomorphisms with small bound between spaces of \(p\)adic continuous functions
 E. Beckenstein and L. Narici  Automatic continuity of basis separating maps
 M. Berz  Cauchy theory on LeviCivita fields
 A. Boutabaa and A. Escassut  Uniqueness problems and applications of the ultrametric Nevanlinna theory
 B. Diarra  The Hopf algebra structure of the space of continuous functions on power series over \(\mathbb{F}_q\) and Carlitz polynomials
 N. De Grandede Kimpe, J. Kąkol, and C. PerezGarcia  Metrizability of compactoid sets in nonarchimedean Hausdorff (LM)spaces
 A. K. Katsaras  Strict topologies and vectormeasures on nonarchimedean spaces
 A. K. Katsaras and C. G. Petalas  Padic spaces with strict topologies as topological algebras
 A. Khrennikov and S. Ludkovsky  Nonarchimedean stochastic processes
 A. Khrennikov, M. Nilsson, and R. Nyqvist  The asymptotic number of periodic points of discrete polynomial \(p\)adic dynamical systems
 A. N. Kochubei  Analysis and probability over infinite extensions of a local field, II: A multiplicative theory
 A. Kubzdela  The HahnBanach subspaces of Banach spaces with base
 A. J. Lemin and V. Lemin  On metrically universal ultrametric spaces \(LV_{\tau}\) and \(LW_{\tau}\)
 N. Maïnetti  Gelfand transform and spectral radius formulae for ultrametric Banach algebras
 P. N. Natarajan  A theorem on summability factors for regular methods in complete ultrametric fields
 H. Ochsenius  Hilbertlike spaces over Krull valued fields
 H. Ochsenius and W. H. Schikhof  Compact operators on nonclassical Hilbert spaces
 C. PerezGarcia  Locally convex spaces over nonarchimedean valued fields
 C. PerezGarcia and W. H. Schikhof  Finitedimensional orthocomplemented subspaces in \(p\)adic normed spaces
 S. PriessCrampe and P. Ribenboim  Systems of differential equations over valued fields
 J. RiveraLetelier  Bianalytic elements and partial isometries of hyperbolic space
 M.C. Sarmant  Analytic roots of solutions of \(p\)adic differential equations
 K. Shamseddine and M. Berz  Measure theory and integration on the LeviCivita field
 W. Śliwa  On block basic sequences in nonarchimedean Fréchet spaces
 P.A. Svensson  Dynamical systems in unramified or totally ramified extensions of the \(p\)adic number field
 L. van Hamme  \(p\)adic analysis and the calculus of finite differences
