eBook ISBN:  9780821879092 
Product Code:  CONM/319.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821879092 
Product Code:  CONM/319.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 319; 2003; 422 ppMSC: Primary 11; 12; 16; 30; 37; 46; 47; 54; 60;
This volume contains research articles based on lectures given at the Seventh International Conference on \(p\)adic Functional Analysis.
The articles, written by leading international experts, provide a complete overview of the latest contributions in basic functional analysis (Hilbert and Banach spaces, locally convex spaces, orthogonality, inductive limits, spaces of continuous functions, strict topologies, operator theory, automatic continuity, measure and integrations, Banach and topological algebras, summability methods, and ultrametric spaces), analytic functions (meromorphic functions, roots of rational functions, characterization of injective holomorphic functions, and Gelfand transforms in algebras of analytic functions), differential equations, BanachHopf algebras, Cauchy theory of LeviCivita fields, finite differences, weighted means, \(p\)adic dynamical systems, and nonArchimedean probability theory and stochastic processes.
The book is written for graduate students and research mathematicians. It also would make a good reference source for those in related areas, such as classical functional analysis, complex analytic functions, probability theory, dynamical systems, orthomodular spaces, number theory, and representations of \(p\)adic groups.
ReadershipGraduate students and research mathematicians interested in functional analysis, algebra, number theory, topology, theoretical physics and related areas.

Table of Contents

Articles

José Aguayo and Miguel Nova — NonArchimedean integral operators on the space of continuous functions [ MR 1977434 ]

Jesús Araujo — Isomorphisms with small bound between spaces of $p$adic continuous functions [ MR 1977435 ]

Edward Beckenstein and Lawrence Narici — Automatic continuity of basis separating maps [ MR 1977436 ]

Martin Berz — Cauchy theory on LeviCivita fields [ MR 1977437 ]

Abdelbaki Boutabaa and Alain Escassut — Uniqueness problems and applications of the ultrametric Nevanlinna theory [ MR 1977438 ]

Bertin Diarra — The Hopf algebra structure of the space of continuous functions on power series over $\Bbb F_q$ and Carlitz polynomials [ MR 1977439 ]

N. De GrandeDe Kimpe, J. Ka̧kol and C. PerezGarcia — Metrizability of compactoid sets in nonArchimedean Hausdorff (LM)spaces [ MR 1977440 ]

A. K. Katsaras — Strict topologies and vectormeasures on nonArchimedean spaces [ MR 1977441 ]

A. K. Katsaras and C. G. Petalas — $p$adic spaces with strict topologies as topological algebras [ MR 1977442 ]

Andrei Khrennikov and Sergei Ludkovsky — NonArchimedean stochastic processes [ MR 1977443 ]

Andrei Khrennikov, Marcus Nilsson and Robert Nyqvist — The asymptotic number of periodic points of discrete polynomial $p$adic dynamical systems [ MR 1977444 ]

Anatoly N. Kochubei — Analysis and probability over infinite extensions of a local field. II. A multiplicative theory [ MR 1977445 ]

Albert Kubzdela — The HahnBanach subspaces of Banach spaces with base [ MR 1977446 ]

Alex J. Lemin and Vladimir Lemin — On metrically universal ultrametric spaces $LV_\tau $ and $LW_\tau $ [ MR 1977447 ]

Nicolas Maïnetti — Gelfand transform and spectral radius formulae for ultrametric Banach algebras [ MR 1977448 ]

P. N. Natarajan — A theorem on summability factors for regular methods in complete ultrametric fields [ MR 1977449 ]

H. Ochsenius — Hilbertlike spaces over Krull valued fields [ MR 1977450 ]

H. Ochsenius and W. H. Schikhof — Compact operators on nonclassical Hilbert spaces [ MR 1977451 ]

C. PerezGarcia — Locally convex spaces over nonArchimedean valued fields [ MR 1977452 ]

C. PerezGarcia and W. H. Schikhof — Finitedimensional orthocomplemented subspaces in $p$adic normed spaces [ MR 1977453 ]

Sibylla PriessCrampe and Paulo Ribenboim — Systems of differential equations over valued fields [ MR 1977454 ]

Juan RiveraLetelier — Bianalytic elements and partial isometries of hyperbolic space [ MR 1977455 ]

MarieClaude Sarmant — Analytic roots of solutions of $p$adic differential equations [ MR 1977456 ]

Khodr Shamseddine and Martin Berz — Measure theory and integration on the LeviCivita field [ MR 1977457 ]

Wiesław Śliwa — On block basic sequences in nonArchimedean Fréchet spaces [ MR 1977458 ]

PerAnders Svensson — Dynamical systems in unramified or totally ramified extensions of the $p$adic number field [ MR 1977459 ]

Lucien van Hamme — $p$adic analysis and the calculus of finite differences [ MR 1977460 ]


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This volume contains research articles based on lectures given at the Seventh International Conference on \(p\)adic Functional Analysis.
The articles, written by leading international experts, provide a complete overview of the latest contributions in basic functional analysis (Hilbert and Banach spaces, locally convex spaces, orthogonality, inductive limits, spaces of continuous functions, strict topologies, operator theory, automatic continuity, measure and integrations, Banach and topological algebras, summability methods, and ultrametric spaces), analytic functions (meromorphic functions, roots of rational functions, characterization of injective holomorphic functions, and Gelfand transforms in algebras of analytic functions), differential equations, BanachHopf algebras, Cauchy theory of LeviCivita fields, finite differences, weighted means, \(p\)adic dynamical systems, and nonArchimedean probability theory and stochastic processes.
The book is written for graduate students and research mathematicians. It also would make a good reference source for those in related areas, such as classical functional analysis, complex analytic functions, probability theory, dynamical systems, orthomodular spaces, number theory, and representations of \(p\)adic groups.
Graduate students and research mathematicians interested in functional analysis, algebra, number theory, topology, theoretical physics and related areas.

Articles

José Aguayo and Miguel Nova — NonArchimedean integral operators on the space of continuous functions [ MR 1977434 ]

Jesús Araujo — Isomorphisms with small bound between spaces of $p$adic continuous functions [ MR 1977435 ]

Edward Beckenstein and Lawrence Narici — Automatic continuity of basis separating maps [ MR 1977436 ]

Martin Berz — Cauchy theory on LeviCivita fields [ MR 1977437 ]

Abdelbaki Boutabaa and Alain Escassut — Uniqueness problems and applications of the ultrametric Nevanlinna theory [ MR 1977438 ]

Bertin Diarra — The Hopf algebra structure of the space of continuous functions on power series over $\Bbb F_q$ and Carlitz polynomials [ MR 1977439 ]

N. De GrandeDe Kimpe, J. Ka̧kol and C. PerezGarcia — Metrizability of compactoid sets in nonArchimedean Hausdorff (LM)spaces [ MR 1977440 ]

A. K. Katsaras — Strict topologies and vectormeasures on nonArchimedean spaces [ MR 1977441 ]

A. K. Katsaras and C. G. Petalas — $p$adic spaces with strict topologies as topological algebras [ MR 1977442 ]

Andrei Khrennikov and Sergei Ludkovsky — NonArchimedean stochastic processes [ MR 1977443 ]

Andrei Khrennikov, Marcus Nilsson and Robert Nyqvist — The asymptotic number of periodic points of discrete polynomial $p$adic dynamical systems [ MR 1977444 ]

Anatoly N. Kochubei — Analysis and probability over infinite extensions of a local field. II. A multiplicative theory [ MR 1977445 ]

Albert Kubzdela — The HahnBanach subspaces of Banach spaces with base [ MR 1977446 ]

Alex J. Lemin and Vladimir Lemin — On metrically universal ultrametric spaces $LV_\tau $ and $LW_\tau $ [ MR 1977447 ]

Nicolas Maïnetti — Gelfand transform and spectral radius formulae for ultrametric Banach algebras [ MR 1977448 ]

P. N. Natarajan — A theorem on summability factors for regular methods in complete ultrametric fields [ MR 1977449 ]

H. Ochsenius — Hilbertlike spaces over Krull valued fields [ MR 1977450 ]

H. Ochsenius and W. H. Schikhof — Compact operators on nonclassical Hilbert spaces [ MR 1977451 ]

C. PerezGarcia — Locally convex spaces over nonArchimedean valued fields [ MR 1977452 ]

C. PerezGarcia and W. H. Schikhof — Finitedimensional orthocomplemented subspaces in $p$adic normed spaces [ MR 1977453 ]

Sibylla PriessCrampe and Paulo Ribenboim — Systems of differential equations over valued fields [ MR 1977454 ]

Juan RiveraLetelier — Bianalytic elements and partial isometries of hyperbolic space [ MR 1977455 ]

MarieClaude Sarmant — Analytic roots of solutions of $p$adic differential equations [ MR 1977456 ]

Khodr Shamseddine and Martin Berz — Measure theory and integration on the LeviCivita field [ MR 1977457 ]

Wiesław Śliwa — On block basic sequences in nonArchimedean Fréchet spaces [ MR 1977458 ]

PerAnders Svensson — Dynamical systems in unramified or totally ramified extensions of the $p$adic number field [ MR 1977459 ]

Lucien van Hamme — $p$adic analysis and the calculus of finite differences [ MR 1977460 ]