Analytic isomorphisms of infinite dimensional polydiscs and an application

Reinhold Meise; Dietmar Vogt

Bulletin de la Société Mathématique de France (1983)

  • Volume: 111, page 3-20
  • ISSN: 0037-9484

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Meise, Reinhold, and Vogt, Dietmar. "Analytic isomorphisms of infinite dimensional polydiscs and an application." Bulletin de la Société Mathématique de France 111 (1983): 3-20. <http://eudml.org/doc/87449>.

@article{Meise1983,
author = {Meise, Reinhold, Vogt, Dietmar},
journal = {Bulletin de la Société Mathématique de France},
keywords = {holomorphic automorphisms of polydiscs; Köthe sequence space; open polydisc; reflexive Schwartz space; H. Cartan’s characterization of biholomorphic maps; hypoanalytic isomorphism},
language = {eng},
pages = {3-20},
publisher = {Société mathématique de France},
title = {Analytic isomorphisms of infinite dimensional polydiscs and an application},
url = {http://eudml.org/doc/87449},
volume = {111},
year = {1983},
}

TY - JOUR
AU - Meise, Reinhold
AU - Vogt, Dietmar
TI - Analytic isomorphisms of infinite dimensional polydiscs and an application
JO - Bulletin de la Société Mathématique de France
PY - 1983
PB - Société mathématique de France
VL - 111
SP - 3
EP - 20
LA - eng
KW - holomorphic automorphisms of polydiscs; Köthe sequence space; open polydisc; reflexive Schwartz space; H. Cartan’s characterization of biholomorphic maps; hypoanalytic isomorphism
UR - http://eudml.org/doc/87449
ER -

References

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  1. [1] CARTAN (H.). — Les fonctions de deux variables complexes et le problème de la représentation analytique, J. Math. pures et appl., Vol. 10, 1931, pp. 1-114. Zbl57.0387.01JFM57.0387.01
  2. [2] CARTAN (H.). — Sur les fonctions de n variables complexes : Les transformations du produit topologique de deux domaines bornées, Bull. Soc. math. Fr., Vol. 64, 1936, pp. 37-48. Zbl0014.40804JFM62.0399.02
  3. [3] COLOMBEAU (J. F.) et PERROT (B.). — Une caractérisation de la nucléarité des espaces de fonctions holomorphes en dimension infinie, C. R. Acad. Sc., Paris, série A, Vol. 284, 1977, pp. 1275-1278. Zbl0351.46015MR56 #3625
  4. [4] DINEEN (S.). — Complex analysis in locally convex spaces, North Holland Mathematics Studies. Vol. 57, 1981. Zbl0484.46044MR84b:46050
  5. [5] HORVATH (J.). — Topological vector spaces and distributions I, Addison-Wesley, Reading Mass., 1966. Zbl0143.15101MR34 #4863
  6. [6] ISIDRO (J. M.). — Characterization of the spectrum of some topological algebras of holomorphic functions, pp. 407-416 in Advances in Holomorphy, J. A. BARROSO, Ed., North Holland Mathematics Studies, Vol. 34, 1979. Zbl0415.46020MR81m:46075
  7. [7] MEISE (R.) and VOGT (D.). — Structure of spaces of holomorphic functions on infinite dimensional polydiscs, to appear in Studia Math. Zbl0527.46019
  8. [8] MITYAGIN (B. S.). — Approximate dimension and bases in nuclear spaces, Russ. Math. Surveys, Vol. 16, 1961, pp. 59-127, (Engl. translation). Zbl0104.08601MR27 #2837
  9. [9] NARASIMHAN (R.). — Several complex variables, University of Chicago Press, Chicago, London, 1971. Zbl0223.32001MR49 #7470
  10. [10] NOVERRAZ (P.). — Pseudo-convexité, convexité polynomiale et domaines d'holomorphic en dimension infinie, North Holland Mathematics Studies, Vol. 3, 1973. Zbl0251.46049MR50 #10814
  11. [11] PIETSCH (A.). — Nuclear locally convex spaces, Ergebnisse der Math., Vol. 66, Springer, 1972. Zbl0236.46001MR50 #2853

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