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On some various notions of infinite dimensional holomorphy

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Proceedings on Infinite Dimensional Holomorphy

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 364))

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Bibliography

  1. V. I. Averbuck and O. G. Smolyanov, The various definitions of the derivative in linear topological spaces, Russian Math. Surveys Vol. 23, No.4(1968), 67–113.

    Article  MATH  Google Scholar 

  2. J. Bochnak and J. Siciak, Analytic functions in topological vector spaces, Studia Math. T. 39(1971), 77–112.

    MathSciNet  MATH  Google Scholar 

  3. J. F. Colombeau, Sur les applications G-analytiques et analytiques en dimension infinie, Seminaire P. Lelong-Année 1971–72-Lecture Notes in Math-Springer.

    Google Scholar 

  4. J. F. Colombeau, Différentiation et Bornologie, These-Bordeaux 1973.

    Google Scholar 

  5. H. Hogbé Nlend, Théorie des Bornologies et Applications, Lecture Notes in Math No.213, Springer.

    Google Scholar 

  6. H. Hogbé Nlend, Les espaces de Fréchet Schwartz et la propriété d'approximation, Comptes Rendus Acad. Sci. Paris A275, 1972, 1073–1075.

    MATH  Google Scholar 

  7. H. Hogbé Nlend, Applications analytiques entre espaces vectoriels et algebres bornologiques, Colloque sur les fonctions de plusieurs variables complexes, Paris, Juin 1972.

    Google Scholar 

  8. D. Lazet, Applications analytiques dans les espaces bornologiques, Séminaire Lelong-1971–72, Lecture Notes in Math-Springer.

    Google Scholar 

  9. M. Z. Nashed, Differentiability and related properties... Non linear functional Analysis and applications, Academic Press, New York-London, 1971.

    MATH  Google Scholar 

  10. D. Pisanelli, Applications analytiques en dimension infinie, Bull. Sci. Math. 2nd series, 96(1972), 181–191.

    MathSciNet  MATH  Google Scholar 

  11. J. S. e Silva, Le calcul différentiel et intégral dans les espaces localement convexes réels ou complexes, Atti. Acad. Naz. Lincei Vol.20(1956), 743–750 et Vol.21(1956), 40–46.

    MATH  Google Scholar 

  12. J. S. e Silva, Conceitos de funçao differemciavel em espaços localmente convexos, Publ. Math. Lisboa, 1957.

    Google Scholar 

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T. L. Hayden T. J. Suffridge

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© 1974 Springer-Verlag Berlin

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Colombeau, J.F. (1974). On some various notions of infinite dimensional holomorphy. In: Hayden, T.L., Suffridge, T.J. (eds) Proceedings on Infinite Dimensional Holomorphy. Lecture Notes in Mathematics, vol 364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069013

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  • DOI: https://doi.org/10.1007/BFb0069013

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06619-4

  • Online ISBN: 978-3-540-37915-7

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