P-Adic Functional Analysis de A.K. Katsaras

P-Adic Functional Analysis

A.K. Katsaras

W.H. Schikhof

L. Van Hamme

This volume collects together lectures presented at the Sixth International Conference held at the University of Ioannina, Greece, on p-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical systems, and algebraic number fields. It discusses the commutation relation AB-BA=I and its central role in quantum mechanics.

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Cuprins

Non-Archimedean Vector Measures and Integral Operators Jose N. Aguayo and Thomas E. Gilsdorf A New Version of the Nonarchimedean Banach-Stone Theorem J. Araujo Analytical and Computational Methods for the Levi-Civita Field Martin Berz An Interpretation of Analytic Functions K. Boussaf Applications of the p-adic Nevanlinna Theory Abdelbaki Boutabaa and Alain Escassut About a Tsuzuki Theorem G. Christol Continuous Coderivations of Complete Ultrametric Hopf Algebras Bertin Diarra Some p-adic Differential Equations Maurice de Gosson, Branko Dragovich, and Andrei Khrennikov Orthogonal and Schauder Bases in Non-Archimedean Locally Convex Spaces N. De Grande-De Kimpe, J. Kakol, C. Perez-Garcia, and W. H. Schikhof Topological Transitivity for p-adic Dynamical Systems Matthias Gundlach, Andrei Khrennikov, and Karl-Olaf Lindahl Some Congruences Involving the p-adic Gamma Function and Some Arithmetical Consequences Lucien Van Hamme On p-adic Locally Convex Spaces A. K. Katsaras Integral Representations of Continuous Linear Operators on p-adic Function Spaces A. K. Katsaras and C. G. Petalas On the Commutation Relation AB -- BA = I for Operators on Non-Classical Hilbert Spaces H. Keller, H. Ochsenius, and W. H. Schikhof Probability Measures on Non-Archimedean Inner Product Spaces H. A. Keller an W. H. Schikhof Isometric Embedding of Ultrametric (non-Archimedean) Spaces in Hilbert Space and Lebesgue Space Alex J. Lemin Metrizability of Some Analytic Affine Spaces Nicolas Mainetti Some Properties of Certain Sequence Spaces over Non-Archimedean Fields P. N. Natarajan Distribution of Cycles of Monomial p-adic Dynamical Systems Marcus Nilsson Some Dynamical Systems in Finite Field Extensions of the p-adic Numbers Robert Nyqvist An Approximation Theorem for p-adic Linear Forms C. Perez-Garcia and W. H. Schikhof Spectral Radius of a Derivation and Algebraic Extensions Alain Salinier On the Roots of a p-adic Rational Function Marie-Claude Sarmant Convergence on the Levi-Civita Field and Study of Power Series Kohdr Shamseddine and Martin Berz Compact Perturbations of p-adic Operators with Finite Codimensional Range S. Vega Umbral Calculus in Non-Archimedean Analysis Ann Verdoodt

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