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Application de la theorie de la mesure en dimension infinie a la resolution de l'equation \(\bar \partial\) sur un espace de Hilbert

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Vector Space Measures and Applications I

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 644))

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Bibliographie

  1. V.I. AVERBUKH, O.G. SMOLYANOV, The theory of differentiation in linear topological spaces, Russian Math. Surveys 22 (1967) no 6, 201–258.

    Article  MATH  Google Scholar 

  2. R.H. CAMERON, The first variation of an indefinite Wiener integral, Proc. of AMS, 2, (1951), 914–924.

    Article  MathSciNet  MATH  Google Scholar 

  3. L. GROSS, Potential theory on Hilbert space, Journal funct. Analysis I, 1967, 123–181.

    Article  MathSciNet  MATH  Google Scholar 

  4. G.M. HENKIN, Integral representations of functions in sticly pseudo-convex domains and application to the \(\bar \partial\)-problem, Math USSR Sbornik 11 (1970), 273–282.

    Article  Google Scholar 

  5. C.J. HENRICH, The \(\bar \partial\) equation with polynomial growth on a Hilbert space, Duke Math. Journal, vol. 40, no 2, 1973, 279–306.

    Article  MathSciNet  MATH  Google Scholar 

  6. M. HERVE, Analytic and plurisubharmonic functions in finite an infinite dimensional spaces, Lecture Notes in Mathematics, no 198 (1970), Springer-Verlag.

    Google Scholar 

  7. L. HORMANDER, Introduction to complex Analysis in several variables, North Holland Publ. comp. (1973).

    Google Scholar 

  8. H.H. KUO, Integration by parts for abstract Wiener measures, DukerMath. Journal, 1974, 373–379.

    Google Scholar 

  9. I. LIEB, Die Cauchy Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten, Math. Annalen 190 (1970), 6–44.

    Article  MathSciNet  MATH  Google Scholar 

  10. P. RABOIN, Etude de l'équation \(\overline \partial f = g\) sur un espace de Hilbert, Note aux comptes Rendus A.S., t 282 (Mars 1976).

    Google Scholar 

  11. P. RABOIN, Résolution de l'équation \(\bar \partial\) sur un espace de Hilbert, Exposé Journées de fonctions analytiques, Toulouse (mai 1976), Springer Verlag, à paraître.

    Google Scholar 

  12. H. SHIMOMURA, An aspect of quasi-invariant measures on R, Publ. RIMS, Kyoto University 11 (1976), 749–773.

    Article  MathSciNet  MATH  Google Scholar 

  13. H. SKODA, d″-cohomologie à croissance lente dans \(\not C^n\), Ann. Sci. Ecole N.S., Série 4, Vol 4 (1971), 97–120.

    MathSciNet  MATH  Google Scholar 

  14. A.V. SKOHOROD, Integration in Hilbert space, Springer Verlag 1974.

    Google Scholar 

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Authors and Affiliations

  1. Université de Nancy I - UER Mathématiques, Case Officielle 140, 54037, Nancy Cédex, France

    Raboin Pierre

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  1. Raboin Pierre
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Richard M. Aron Seán Dineen

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© 1978 Springer-Verlag

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Pierre, R. (1978). Application de la theorie de la mesure en dimension infinie a la resolution de l'equation \(\bar \partial\) sur un espace de Hilbert. In: Aron, R.M., Dineen, S. (eds) Vector Space Measures and Applications I. Lecture Notes in Mathematics, vol 644. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066856

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  • DOI: https://doi.org/10.1007/BFb0066856

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08668-0

  • Online ISBN: 978-3-540-35906-7

  • eBook Packages: Springer Book Archive

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