Biholomorphic equivalence of bounded Reinhardt domains

Tom Barton

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1986)

  • Volume: 13, Issue: 1, page 1-13
  • ISSN: 0391-173X

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Barton, Tom. "Biholomorphic equivalence of bounded Reinhardt domains." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 13.1 (1986): 1-13. <http://eudml.org/doc/83973>.

@article{Barton1986,
author = {Barton, Tom},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Riemann mapping theorem; bounded Reinhardt domains in complex Banach spaces; nontrivial group of biholomorphic automorphisms; Jordan theoretic},
language = {eng},
number = {1},
pages = {1-13},
publisher = {Scuola normale superiore},
title = {Biholomorphic equivalence of bounded Reinhardt domains},
url = {http://eudml.org/doc/83973},
volume = {13},
year = {1986},
}

TY - JOUR
AU - Barton, Tom
TI - Biholomorphic equivalence of bounded Reinhardt domains
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1986
PB - Scuola normale superiore
VL - 13
IS - 1
SP - 1
EP - 13
LA - eng
KW - Riemann mapping theorem; bounded Reinhardt domains in complex Banach spaces; nontrivial group of biholomorphic automorphisms; Jordan theoretic
UR - http://eudml.org/doc/83973
ER -

References

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  1. [1] H. Auerbach, Sur les groupes lineaires, Studia Math., 4 (1933), pp. 113-125; Studia Math., 4 (1933), pp. 158-166, and Studia Math., 5 (1934), pp. 43-49. Zbl59.1093.05JFM60.1089.01
  2. [2] T.J. Barton - S. Dineen - R. Timoney, Bounded Reinhardt domains in Banach spaces, Compositio Math., to appear. Zbl0661.32005MR860318
  3. [3] R. Braun - W. Kaup - H. Upmeier, On the automorphisms of circular and Reinhardt domains in complex Banach spaces, Manuscripta Math., 25 (1978). pp. 97-133. Zbl0398.32001MR500878
  4. [4] R.J. Fleming - J.E. Jamison, Hermitian and adjoint abelian operators on certain Banach spaces, Pacific J. Math., 52 (1974), pp. 67-84. Zbl0288.47028MR358414
  5. [5] —, Isometries on certain Banach spaces, J. London Math. Soc. (2), 9 (1975), pp. 121-127. Zbl0288.47027MR361733
  6. [6] N.J. Kalton - G.V. Wood, Orthonormal systems on Banach spaces and their applications, Math. Proc. Cambridge Philos. Soc., 79 (1976), pp. 493-510. Zbl0327.46022MR402471
  7. [7] W. Kaup - H. Upmeier, Banach spaces with biholomorphically equivalent unit balls are isomorphic, Proc. Amer. Math. Soc., 58 (1976), pp. 129-133. Zbl0337.32012MR422704
  8. [8] H. Schneider - E.L. Turner, Matrices hermitian for an absolute norm, Linear and Multilinear Algebra, 1 (1973), pp. 9-31. Zbl0278.15012MR321955
  9. [9] L.L. Stachó, A projection principle concerning biholomorphic automorphisms, Acta Sci. Math., 44 (1982), pp. 99-124. Zbl0505.58008MR660517
  10. [10] T. Sunada, Holomorphic equivalence problem for bounded Reinhardt domains, Math. Ann235 (1978), pp. 111-128. Zbl0357.32001MR481064
  11. [11] J.P. Vigué, Le groupe des automorphismes analytiques d'un domaine borné d'un espace de Banach complexe. Application aux domaines borné symétriques. Ann. Sci. Ècole Norm. Sup., 9 (1976), pp. 203-282. Zbl0333.32027MR430335
  12. [12] —, Automorphismes analytiques d'un domaine de Reinhardt borné d'un espace de Banach a base, Ann. Inst. Fourier, 34 (1984), pp. 67-87. Zbl0525.32027MR746496

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