Functional analysis, holomorphy, and approximation theory : proceedings of the Seminário de Análise Funcional, Holomorfia e Teoria da Aproximação, Universidade Federal do Rio de Janeiro, Brazil, August 7-11, 1978

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Functional analysis, holomorphy, and approximation theory : 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

（Lecture notes in mathematics, 843）

Springer-Verlag, 1981

  • : Berlin
  • : New York

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Includes bibliographies and index

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Table of Contents

  • An example of a quasi-normable Frechet 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 Probleme u=f ou f est une Fonction a 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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