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Functional Analysis, Holomorphy, and Approximation Theory [electronic resource] : Proceedings of the Seminário de Análise Funcional, Holomorfia e Teoria da Aproximação, Universidade Federal do Rio de Janeiro, Brazil, August 7 – 11, 1978 / edited by Silvio Machado.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 843Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1981Description: X, 638 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540385295
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 515 23
LOC classification:
  • QA299.6-433
Online resources:
Contents:
An example of a quasi-normable Fréchet function space which is not a Schwartz space -- The Levi problem and the radius of convergence of holomorphic functions on metric vector spaces -- Extending nonarchimedean norms on algebras -- M-structure in tensor products of Banach spaces -- Silva-holomorphy types, borel transforms and partial differential operators -- The approximation-theoretic locaization of Schwartz's approximation property for weighted locally convex function spaces and some examples -- An application of Korovkin's theorem to certain partial differential equations -- The fourier-borel transform in infinitely many dimensions and applications -- On the solvability of differential equations of infinite order in non-metrizable spaces -- C?-functions on locally convex and on bornological vector spaces -- Uniform measures and CoSaks spaces -- Holomorphic germs on compact subsets of locally convex spaces -- Some mathematical problems in non-equilibrium statistical mechanics -- Generalized Hewitt-Nachbin spaces arising in state-space completions -- On the topology of compact complex surfaces -- Jordan algebras and holomorphy -- How to recognize supports from the growth of functional transforms in real and complex analysis -- Linear differential operators on vector spaces -- Solutions Faibles et Solutions Fortes du Problème u=f où f est une Fonction à Croissance Polynomiale sur un Espace de Hilbert -- Silva-holomorphy types -- Envelopes for types of holomorphy -- Domains of holomorphy in (DFC)-spaces -- Homomorphisms of algebras of germs of holomorphic functions -- On the spectra of non-archimedean function algebras -- An example of the barrelled space associated to C(X;E) -- On suprabarrelled spaces -- Envelopes of silva-holomorphy -- Dense subalgebras in topological algebras of differentiable functions.
In: Springer eBooks
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An example of a quasi-normable Fréchet function space which is not a Schwartz space -- The Levi problem and the radius of convergence of holomorphic functions on metric vector spaces -- Extending nonarchimedean norms on algebras -- M-structure in tensor products of Banach spaces -- Silva-holomorphy types, borel transforms and partial differential operators -- The approximation-theoretic locaization of Schwartz's approximation property for weighted locally convex function spaces and some examples -- An application of Korovkin's theorem to certain partial differential equations -- The fourier-borel transform in infinitely many dimensions and applications -- On the solvability of differential equations of infinite order in non-metrizable spaces -- C?-functions on locally convex and on bornological vector spaces -- Uniform measures and CoSaks spaces -- Holomorphic germs on compact subsets of locally convex spaces -- Some mathematical problems in non-equilibrium statistical mechanics -- Generalized Hewitt-Nachbin spaces arising in state-space completions -- On the topology of compact complex surfaces -- Jordan algebras and holomorphy -- How to recognize supports from the growth of functional transforms in real and complex analysis -- Linear differential operators on vector spaces -- Solutions Faibles et Solutions Fortes du Problème u=f où f est une Fonction à Croissance Polynomiale sur un Espace de Hilbert -- Silva-holomorphy types -- Envelopes for types of holomorphy -- Domains of holomorphy in (DFC)-spaces -- Homomorphisms of algebras of germs of holomorphic functions -- On the spectra of non-archimedean function algebras -- An example of the barrelled space associated to C(X;E) -- On suprabarrelled spaces -- Envelopes of silva-holomorphy -- Dense subalgebras in topological algebras of differentiable functions.

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