| eBook ISBN: | 978-0-8218-8230-6 |
| Product Code: | CONM/551.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-8230-6 |
| Product Code: | CONM/551.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 551; 2011; 280 ppMSC: Primary 11; 12; 15; 26; 32; 44; 46; 47; 81
This volume contains papers based on lectures given at the Eleventh International Conference on \(p\)-adic Functional Analysis, which was held from July 5–9, 2010, in Clermont-Ferrand, France.
The articles collected here feature recent developments in various areas of non-Archimedean analysis: Hilbert and Banach spaces, finite dimensional spaces, topological vector spaces and operator theory, strict topologies, spaces of continuous functions and of strictly differentiable functions, isomorphisms between Banach function spaces, and measure and integration.
Other topics discussed in this volume include \(p\)-adic differential and \(q\)-difference equations, rational and non-Archimedean analytic functions, the spectrum of some algebras of analytic functions, and maximal ideals of the ultrametric corona algebra.
ReadershipGraduate students and research mathematicians interested in non-Archimedean analysis.
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Table of Contents
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Articles
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C. Perez-Garcia and W. H. Schikhof — Remembering Nicole De Grande-De Kimpe (1936-2008)
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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
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Najet Boudjerida, Abdelbaki Boutabaa and Samia Medjerab — $q$-difference equations in ultrametric fields
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Kamal Boussaf, Alain Escassut and Jacqueline Ojeda — Primitives of $p$-adic meromorphic functions
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William Cherry — Existence of GCD’s and factorization in rings of non-Archimedean entire functions
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Gilles Christol — The radius of convergence function for first order differential equations
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Bertin Diarra — The Lipschitz condition for rational functions on ultrametric valued fields
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Alain Escassut — Differential and maximal ideals of the ultrametric Corona algebra
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A. K. Katsaras — Linear topologies on non-Archimedean function spaces
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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
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Hans A. Keller and Herminia Ochsenius — Perturbations of bounded linear operators on orthomodular Hilbertian spaces
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Albert Kubzdela — On some geometrical properties of linear subspaces of $l^\infty $
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Michel L. Lapidus and Lũ’ Hùng — The geometry of $p$-adic fractal strings: A comparative survey
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Hamadoun Maïga — Identities and congruences for Genocchi numbers
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Héctor M. Moreno — Toward an ultrametric calculus in a field $K$ with an infinite rank valuation
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E. Olivos and W. H. Schikhof — Extending the multiplication of a totally ordered group to its completion
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Sibylla Priess-Crampe — Norm Hilbert spaces with uncountable orthogonal basis
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Khodr Shamseddine — Absolute and relative extrema, the mean value theorem and the inverse function theorem for analytic functions on a Levi-Civita field
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Fana Tangara — Some $p$-adic $q$-difference equations on $\mathcal {C}(\mathbb {Z}_p,K)$
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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This volume contains papers based on lectures given at the Eleventh International Conference on \(p\)-adic Functional Analysis, which was held from July 5–9, 2010, in Clermont-Ferrand, France.
The articles collected here feature recent developments in various areas of non-Archimedean analysis: Hilbert and Banach spaces, finite dimensional spaces, topological vector spaces and operator theory, strict topologies, spaces of continuous functions and of strictly differentiable functions, isomorphisms between Banach function spaces, and measure and integration.
Other topics discussed in this volume include \(p\)-adic differential and \(q\)-difference equations, rational and non-Archimedean analytic functions, the spectrum of some algebras of analytic functions, and maximal ideals of the ultrametric corona algebra.
Graduate students and research mathematicians interested in non-Archimedean analysis.
-
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 $\mathcal {C}(\mathbb {Z}_p,K)$
