Advances in non-Archimedean analysis : 11th International Conference on p-Adic Functional Analysis, July 5-9 2010, Université Blaise Pascal, Clermont-Ferrand, France / Jesus Araujo-Gomez, Bertin Diarra, Alain Escassut, editors
Contents -- Preface -- Remembering Nicole De Grande-De Kimpe (1936-2008) -- Using van der Put basis to determine if a 2-adic function is measure-preserving or ergodic w.r.t. Haar measure -- q-difference equations in ultrametric fields -- Primitives of p-adic meromorphic functions -- Existence of GCD's and factorization in rings of non-Archimedean entire functions -- The radius of convergence function for first order differential equations -- The Lipschitz condition for rational functions on ultrametric valued fields
""Differential and maximal ideals of the ultrametric Corona algebra""""Linear topologies on non-Archimedean function spaces""; ""On maximal closed ideals in topological algebras of continuous vector-valued functions over non-Archimedean valued fields""; ""Perturbations of bounded linear operators on orthomodular Hilbertian spaces""; ""On some geometrical properties of linear subspaces of lâ?ž""; ""The geometry of p-adic fractal strings: A comparative survey""; ""1. Introduction""; ""2. Archimedean vs. Nonarchimedean Cantor Set and String""; ""3. p-Adic Fractal Strings""
4. Nonarchimedean Self-similar Strings5. Concluding Comments -- References -- Identities and congruences for Genocchi numbers -- Toward an ultrametric calculus in a field K with an infinite rank valuation -- Extending the multiplication of a totally ordered group to its completion -- Norm Hilbert spaces with uncountable orthogonal basis -- Absolute and relative extrema, the mean value theorem and the inverse function theorem for analytic functions on a Levi-Civita field -- Some p-adic q-difference equations on C(Zp, K)
Notes
"Remembering Nicole De Grande-De Kimpe (1936-2008)"--Page 1-32
