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© 1981

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

  • Editors
  • Silvio Machado
Conference proceedings

Part of the Lecture Notes in Mathematics book series (LNM, volume 843)

Table of contents

  1. Front Matter
    Pages N2-VI
    PDF
  2. An example of a quasi-normable Fréchet function space which is not a Schwartz space
    J. M. Ansemil, S. Ponte
    Pages 1-8
  3. The Levi problem and the radius of convergence of holomorphic functions on metric vector spaces
    Aboubakr Bayoumi
    Pages 9-32
  4. Extending nonarchimedean norms on algebras
    Edward Beckenstein, Lawrence Narici
    Pages 33-40
  5. M-structure in tensor products of Banach spaces
    Ehrhard Behrends
    Pages 41-54
  6. Silva-holomorphy types, borel transforms and partial differential operators
    Mauro Bianchini
    Pages 55-92
  7. The approximation-theoretic locaization of Schwartz's approximation property for weighted locally convex function spaces and some examples
    Klaus-D. Bierstedt
    Pages 93-149
  8. An application of Korovkin's theorem to certain partial differential equations
    Bruno Brosowski
    Pages 150-162
  9. The fourier-borel transform in infinitely many dimensions and applications
    J. F. Colombeau, B. Perrot
    Pages 163-186
  10. On the solvability of differential equations of infinite order in non-metrizable spaces
    J. F. Colombeau, B. Perrot, T. A. W. Dwyer III
    Pages 187-194
  11. C∞-functions on locally convex and on bornological vector spaces
    Jean-François Colombeau, Reinhold Meise
    Pages 195-216
  12. Uniform measures and CoSaks spaces
    J. B. Cooper, W. Schachermayer
    Pages 217-246
  13. Holomorphic germs on compact subsets of locally convex spaces
    Seán Dineen
    Pages 247-263
  14. Some mathematical problems in non-equilibrium statistical mechanics
    Gérard G. Emch
    Pages 264-295
  15. Generalized Hewitt-Nachbin spaces arising in state-space completions
    Benno Fuchssteiner
    Pages 296-318
  16. On the topology of compact complex surfaces
    Ludger Kaup
    Pages 319-340
  17. Jordan algebras and holomorphy
    Wilhelm Kaup
    Pages 341-365
  18. How to recognize supports from the growth of functional transforms in real and complex analysis
    Christer O. Kiselman
    Pages 366-372
  19. Linear differential operators on vector spaces
    Paul Krée
    Pages 373-404
  20. Solutions Faibles et Solutions Fortes du Problème \(\bar \partial \)u=f où f est une Fonction à Croissance Polynomiale sur un Espace de Hilbert
    Bernard Lascar
    Pages 405-436

About these proceedings

Keywords

Analysis Approximation Funktionalanalysis Holomorphie Holomorphy calculus differential equation function space functional analysis partial differential equation

Bibliographic information

  • Book Title Functional Analysis, Holomorphy, and Approximation Theory
  • Book Subtitle Proceedings of the Seminário de Análise Funcional, Holomorfia e Teoria da Aproximação, Universidade Federal do Rio de Janeiro, Brazil, August 7 – 11, 1978
  • Editors S. Machado
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI https://doi.org/10.1007/BFb0089265
  • Copyright Information Springer-Verlag Berlin Heidelberg 1981
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-10560-2
  • eBook ISBN 978-3-540-38529-5
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages X, 638
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
    Numerical Analysis
  • Buy this book on publisher's site