Le problème du ¯ sur un espace de Hilbert

Pierre Raboin

Bulletin de la Société Mathématique de France (1979)

  • Volume: 107, page 225-240
  • ISSN: 0037-9484

How to cite

top

Raboin, Pierre. "Le problème du $\overline{\partial }$ sur un espace de Hilbert." Bulletin de la Société Mathématique de France 107 (1979): 225-240. <http://eudml.org/doc/87345>.

@article{Raboin1979,
author = {Raboin, Pierre},
journal = {Bulletin de la Société Mathématique de France},
keywords = {delta-equation on a Hilbert space; pseudoconvexe open set; compact operator; Cousin's first problem; Dfn spaces},
language = {fre},
pages = {225-240},
publisher = {Société mathématique de France},
title = {Le problème du $\overline\{\partial \}$ sur un espace de Hilbert},
url = {http://eudml.org/doc/87345},
volume = {107},
year = {1979},
}

TY - JOUR
AU - Raboin, Pierre
TI - Le problème du $\overline{\partial }$ sur un espace de Hilbert
JO - Bulletin de la Société Mathématique de France
PY - 1979
PB - Société mathématique de France
VL - 107
SP - 225
EP - 240
LA - fre
KW - delta-equation on a Hilbert space; pseudoconvexe open set; compact operator; Cousin's first problem; Dfn spaces
UR - http://eudml.org/doc/87345
ER -

References

top
  1. [1]AVERBUKH (V. I.) et SMOLYANOV (O. G.). — The theory of differentiation in linear topological spaces, Russian math. Surveys, t. 22, 1967, p. 201-258. Zbl0312.46054
  2. [2]BOLAND (P.). —Duality and spaces of holomorphic functions, Infinite dimensional holomorphy and applications [1975. Univ. Campinas, Saõ Paulo], p. 131-138. - Amsterdam, North-Holland publishing Company, 1977 (North-Holland Mathematics Studies, 12). Zbl0372.46026MR58 #12359
  3. [3]BOLAND (P.). — Holomorphic functions on nuclear spaces, Trans. Amer. math. Soc., t. 209, 1975, p. 279-281. Zbl0317.46036MR52 #8931
  4. [4]BOLAND (P.) et DINEEN (S.). — Holomorphic functions on fully nuclear space, Preprint, 1977. 
  5. [5] BONIC (R.) et FRAMPTON (J.). — Smooth functions on Banach manifolds, J. Math. and Mech., t. 15, 1966, p. 877-898. Zbl0143.35202MR33 #6647
  6. [6]CAMERON (R. H.). — The first variation of an indefinite Wiener integral, Proc. Amer. math. Soc., t. 2, 1951, p. 914-924. Zbl0044.12103MR13,659b
  7. [7]DINEEN (S.). — Cousin's first problem on certain locally convex topological spaces, Anais Acad. brasil. C., t. 48, 1976, p. 11-12. Zbl0354.46029MR55 #11290
  8. [8]GOODMAN (V.). — A divergence theorem for Hilbert space, Trans. Amer. math. Soc., t. 164, 1972, p. 411-426. Zbl0209.43403MR45 #7469
  9. [9]GROSS (L.). — Potential theory on Hilbert space, J. funct. Anal., t. 1, 1967, p. 123-181 Zbl0165.16403MR37 #3331
  10. [10]GRUMAN (L.). — The Levi problem in certain infinite dimensional vector spaces, Illinois J. of Math., t. 18, 1974, p. 20-26. Zbl0276.32017MR50 #993
  11. [11]J. HADAMARD. — Cours d'Analyse professé à l'École Polytechnique, Tome 2. - Paris, Hermann, 1930. Zbl56.0194.01JFM56.0194.01
  12. [12]HENRICH (C. J.). — The ∂ equation with polynomial growth on a Hilbert space, Duke math. J., t. 40, 1973, p. 279-306. Zbl0261.35063MR47 #9279
  13. [13]HIRSCHOWITZ (A.). — Prolongement analytique en dimension infinie, Ann. Inst. Fourier, t. 22, 1972, p. 255-292. Zbl0224.32015MR49 #11256
  14. [14]HÖRMANDER (L.). — An introduction to complex analysis in several variables. - Amsterdam, North-Holland publishing Company, 1973 (North-Holland mathematical Library, 7). Zbl0271.32001MR49 #9246
  15. [15]LLOYD (J.). — Smooth partition of unity on manifolds, Trans. Amer. math. Soc., t. 187, 1974, p. 249-259. Zbl0259.58005MR51 #11569
  16. [16]RABOIN (P.). — Étude de l'équation ∂f = g sur un espace de Hilbert, C. R. Acad. Sc. Paris, t. 282, 1976, série A, p. 627-630; et exposé aux Journées de fonctions analytiques [1976, Toulouse]. - Berlin, Springer-Verlag (Lecture Notes in Math. n° 578). Zbl0318.35065MR54 #6181
  17. [17]SCHAEFFER (H. H.). — Topological vector spaces, - Berlin, Springer-Verlag, 1971 (Graduate Texts in Mathematics, 3). Zbl0217.16002
  18. [18]SCHOTTENLOHER (M.). — The Levi problem for domains spead over I.c. spaces with a Schauder decomposition, Habilitationschrift München, 1974. 
  19. [19]SKOROHOD (A. V.). — Integration in Hilbert space. - Berlin, Springer-Verlag, 1974 (Ergebnisse der Mathematik, 79). Zbl0307.28010MR57 #6360

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.