eBook ISBN:  9780821882306 
Product Code:  CONM/551.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821882306 
Product Code:  CONM/551.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

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 ClermontFerrand, France.
The articles collected here feature recent developments in various areas of nonArchimedean 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 nonArchimedean 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 nonArchimedean analysis.

Table of Contents

Articles

C. PerezGarcia and W. H. Schikhof — Remembering Nicole De GrandeDe Kimpe (19362008)

V. Anashin, A. Khrennikov and E. Yurova — Using van der Put basis to determine if a 2adic function is measurepreserving 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 nonArchimedean 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 nonArchimedean function spaces

A. K. Katsaras, L. A. Khan and A. R. Khan — On maximal closed ideals in topological algebras of continuous vectorvalued functions over nonArchimedean 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 PriessCrampe — 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 LeviCivita field

Fana Tangara — Some $p$adic $q$difference equations on $\mathcal {C}(\mathbb {Z}_p,K)$


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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 ClermontFerrand, France.
The articles collected here feature recent developments in various areas of nonArchimedean 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 nonArchimedean 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 nonArchimedean analysis.

Articles

C. PerezGarcia and W. H. Schikhof — Remembering Nicole De GrandeDe Kimpe (19362008)

V. Anashin, A. Khrennikov and E. Yurova — Using van der Put basis to determine if a 2adic function is measurepreserving 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 nonArchimedean 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 nonArchimedean function spaces

A. K. Katsaras, L. A. Khan and A. R. Khan — On maximal closed ideals in topological algebras of continuous vectorvalued functions over nonArchimedean 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 PriessCrampe — 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 LeviCivita field

Fana Tangara — Some $p$adic $q$difference equations on $\mathcal {C}(\mathbb {Z}_p,K)$