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Advances in non-Archimedean analysis : [electronic resource] 11th International Conference on p-Adic Functional Analysis, July 5-9 2010, Universit�e Blaise Pascal, Clermont-Ferrand, France / Jesus Araujo-Gomez, Bertin Diarra, Alain Escassut, editors.

By: (11th : International Conference on p-Adic Functional Analysis (11th : 2010 : Universit�e Blaise Pascal)Contributor(s): Araujo-Gomez, Jesus, 1965- | Diarra, B. (Bertin), 1944- | Escassut, AlainMaterial type: Text

TextSeries: Contemporary mathematics ; v. 551Publication details: Providence, R.I. : American Mathematical Society, c2011Description: 1 online resource (x, 280 p. : ill.)ISBN: 9780821882306 (online)Subject(s): p-adic analysis -- Congresses | Topological fields -- Congresses | De Grande-De Kimpe, N | Number theory -- Diophantine equations -- $p$-adic and power series fields. $2 msc | Number theory -- Algebraic number theory: local and $p$-adic fields -- Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.). $2 msc | Field theory and polynomials -- Topological fields -- Non-Archimedean valued fields. $2 msc | Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Quadratic and bilinear forms, inner products. $2 msc | Real functions -- Miscellaneous topics -- Non-Archimedean analysis. $2 msc | Several complex variables and analytic spaces -- Non-Archimedean analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) -- Non-Archimedean analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem). $2 msc | Integral transforms, operational calculus -- Integral transforms, operational calculus -- Laplace transform. $2 msc | Functional analysis -- Other (nonclassical) types of functional analysis -- Functional analysis over fields other than $. $2 msc | Operator theory -- Other (nonclassical) types of operator theory -- Operator theory over fields other than $. $2 msc | Quantum theory -- General mathematical topics and methods in quantum theory -- Alternative quantum mechanics. $2 mscAdditional physical formats: Advances in non-Archimedean analysis :DDC classification: 512.7/4 LOC classification: QA241 | .I5848 2010Other classification: 11D88 | 11S80 | 12J25 | 15A63 | 26E30 | 32P05 | 44A10 | 46S10 | 47S10 | 81Q65 Online resources: Contents | Contents

Contents:

Remembering Nicole De Grande-De Kimpe (1936-2008) / C. Perez-Garcia and W. H. Schikhof -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10882 Using van der Put basis to determine if a 2-adic function is measure-preserving or ergodic w.r.t. Haar measure / V. Anashin, A. Khrennikov and E. Yurova -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10883 $q$-difference equations in ultrametric fields / Najet Boudjerida, Abdelbaki Boutabaa and Samia Medjerab -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10901 Primitives of $p$-adic meromorphic functions / Kamal Boussaf, Alain Escassut and Jacqueline Ojeda -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10884 Existence of GCD's and factorization in rings of non-Archimedean entire functions / William Cherry -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10885 The radius of convergence function for first order differential equations / Gilles Christol -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10886 The Lipschitz condition for rational functions on ultrametric valued fields / Bertin Diarra -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10887 Differential and maximal ideals of the ultrametric Corona algebra / Alain Escassut -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10888 Linear topologies on non-Archimedean function spaces / A. K. Katsaras -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10889 On maximal closed ideals in topological algebras of continuous vector-valued functions over non-Archimedean valued fields / A. K. Katsaras, L. A. Khan and A. R. Khan -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10890 Perturbations of bounded linear operators on orthomodular Hilbertian spaces / Hans A. Keller and Herminia Ochsenius -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10891 On some geometrical properties of linear subspaces of $l^\infty $ / Albert Kubzdela -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10892 The geometry of $p$-adic fractal strings: A comparative survey / Michel L. Lapidus and L�u' H�ung -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10893 Identities and congruences for Genocchi numbers / Hamadoun Ma�iga -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10894 Toward an ultrametric calculus in a field $K$ with an infinite rank valuation / H�ector M. Moreno -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10895 Extending the multiplication of a totally ordered group to its completion / E. Olivos and W. H. Schikhof -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10896 Norm Hilbert spaces with uncountable orthogonal basis / Sibylla Priess-Crampe -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10897 Absolute and relative extrema, the mean value theorem and the inverse function theorem for analytic functions on a Levi-Civita field / Khodr Shamseddine -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10898 Some $p$-adic $q$-difference equations on $\mathcal {C}(\mathbb {Z}_p,K)$ / Fana Tangara -- http://www.ams.org/conm/551/ http://dx.doi.org/10.1090/conm/551/10899

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11833

"Remembering Nicole De Grande-De Kimpe (1936-2008)"--P. 1-32.

Includes bibliographical references.

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