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# Advances in Non-Archimedean Analysis

### About this Title

**Jesus Araujo-Gomez**, *Universidad de Cantabria, Santander, Spain*, **Bertin Diarra**, *Université Blaise Pascal, Aubière, France* and **Alain Escassut**, *Université Blaise Pascal, Aubière, France*, Editors

Publication: Contemporary Mathematics

Publication Year:
2011; Volume 551

ISBNs: 978-0-8218-5291-0 (print); 978-0-8218-8230-6 (online)

DOI: https://doi.org/10.1090/conm/551

### Table of Contents

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**Front/Back Matter**

**Articles**

- C. Perez-Garcia and W. H. Schikhof – Remembering Nicole De Grande-De Kimpe (1936-2008)
- V. Anashin, A. Khrennikov and E. Yurova – Using van der Put basis to determine if a 2-adic function is measure-preserving or ergodic w.r.t. Haar measure
- Najet Boudjerida, Abdelbaki Boutabaa and Samia Medjerab – $q$-difference equations in ultrametric fields
- Kamal Boussaf, Alain Escassut and Jacqueline Ojeda – Primitives of $p$-adic meromorphic functions
- William Cherry – Existence of GCD’s and factorization in rings of non-Archimedean entire functions
- Gilles Christol – The radius of convergence function for first order differential equations
- Bertin Diarra – The Lipschitz condition for rational functions on ultrametric valued fields
- Alain Escassut – Differential and maximal ideals of the ultrametric Corona algebra
- A. K. Katsaras – Linear topologies on non-Archimedean function spaces
- A. K. Katsaras, L. A. Khan and A. R. Khan – On maximal closed ideals in topological algebras of continuous vector-valued functions over non-Archimedean valued fields
- Hans A. Keller and Herminia Ochsenius – Perturbations of bounded linear operators on orthomodular Hilbertian spaces
- Albert Kubzdela – On some geometrical properties of linear subspaces of $l^\infty$
- Michel L. Lapidus and Lũ’ Hùng – The geometry of $p$-adic fractal strings: A comparative survey
- Hamadoun Maïga – Identities and congruences for Genocchi numbers
- Héctor M. Moreno – Toward an ultrametric calculus in a field $K$ with an infinite rank valuation
- E. Olivos and W. H. Schikhof – Extending the multiplication of a totally ordered group to its completion
- Sibylla Priess-Crampe – Norm Hilbert spaces with uncountable orthogonal basis
- Khodr Shamseddine – Absolute and relative extrema, the mean value theorem and the inverse function theorem for analytic functions on a Levi-Civita field
- Fana Tangara – Some $p$-adic $q$-difference equations on $\mathcal {C}(\mathbb {Z}_p,K)$