1.

Record Nr.

UNINA9910808666203321

Titolo

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

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2011]

©2011

ISBN

0-8218-8230-9

0-8218-8244-9

Descrizione fisica

1 online resource (294 p.)

Collana

Contemporary mathematics, ; 551 , 0271-4132

Classificazione

11D8811S8012J2515A6326E3032P0544A1046S1047S1081Q65

Disciplina

512.7/4

Soggetti

p-adic analysis

Topological fields

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

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

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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 --  4. Nonarchimedean Self-similar Strings --  5. 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).