Advances In Ultrametric Analysis: 12th International Conference P-adic Functional Analysis July 2-6, 2012 University Of Manitoba, Winnipeg, Canada (contemporary Mathematics)
by Khodr Shamseddine /
2013 / English / PDF
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This volume contains papers based on lectures given at the 12th
International Conference on p -adic Functional Analysis, which was
held at the University of Manitoba on July 2-6, 2012. The articles
included in this book feature recent developments in various areas
of non-archimedean analysis: branched values and zeros of the
derivative of a $p$-adic meromorphic function, p -adic meromorphic
functions $f^{\prime}P^{\prime}(f), g^{\prime}P^{\prime}(g)$
sharing a small function, properties of composition of analytic
functions, partial fractional differentiability, morphisms between
ultrametric Banach algebras of continuous functions and maximal
ideals of finite dimension, the $p$-adic $q$-distributions, Banach
spaces over fields with an infinite rank valuation, Grobman-Hartman
theorems for diffeomorphisms of Banach spaces over valued fields,
integral representations of continuous linear maps on $p$-adic
spaces of continuous functions, non-Archimedean operator algebras,
generalized Keller spaces over valued fields, proper
multiplications on the completion of a totally ordered abelian
group, the Grothendieck approximation theory in non-Archimedean
functional analysis, generalized power series spaces, measure
theory and the study of power series and analytic functions on the
Levi-Civita fileds. Through a combination of new research articles
and survey papers, this book provides the reader with an overview
of current developments and techniques in non-archimedean analysis
as well as a broad knowledge of some of the sub-areas of this
exciting and fast-developing research area.
This volume contains papers based on lectures given at the 12th
International Conference on p -adic Functional Analysis, which was
held at the University of Manitoba on July 2-6, 2012. The articles
included in this book feature recent developments in various areas
of non-archimedean analysis: branched values and zeros of the
derivative of a $p$-adic meromorphic function, p -adic meromorphic
functions $f^{\prime}P^{\prime}(f), g^{\prime}P^{\prime}(g)$
sharing a small function, properties of composition of analytic
functions, partial fractional differentiability, morphisms between
ultrametric Banach algebras of continuous functions and maximal
ideals of finite dimension, the $p$-adic $q$-distributions, Banach
spaces over fields with an infinite rank valuation, Grobman-Hartman
theorems for diffeomorphisms of Banach spaces over valued fields,
integral representations of continuous linear maps on $p$-adic
spaces of continuous functions, non-Archimedean operator algebras,
generalized Keller spaces over valued fields, proper
multiplications on the completion of a totally ordered abelian
group, the Grothendieck approximation theory in non-Archimedean
functional analysis, generalized power series spaces, measure
theory and the study of power series and analytic functions on the
Levi-Civita fileds. Through a combination of new research articles
and survey papers, this book provides the reader with an overview
of current developments and techniques in non-archimedean analysis
as well as a broad knowledge of some of the sub-areas of this
exciting and fast-developing research area.
