On invariant domains of holomorphy

 Access to full text

 Full (PDF)

1. [1] Bedford E. and Dadok J., Generalized Reinhardt domains, J. Geom. Anal. 1 (1991), 1-17 
2. [2] Cœuré G. and Loeb J. J., Univalence de certaines envelopes d'holomorphie, C. R. Acad. Sci. Paris Sér. I 302 (1986), 59-61 
3. [3] Fels G., Holomorphiehüllen der Reinhardtschen Gebiete sowie $U_n\left(ℂ\right)\times U_n\left(ℂ\right)$ invarianten Matrizengebiete, Ruhr-Universität preprint, Bochum, 1990. 
4. [4] Heinzner P., Geometric invariant theory on Stein spaces, Math. Ann. 289 (1991), 631-662 Zbl0728.32010
5. [5] Heinzner P. and Sergeev A. G., The extended matrix disc is a domain of holomorphy, Math. USSR-Izv. 38 (1992), 637-645 Zbl0788.32006
6. [6] Hochschild G., The Structure of Lie Groups, Holden-Day, San Francisco, 1965. Zbl0131.02702
7. [7] Jost R., The General Theory of Quantized Fields, Amer. Math. Soc., Providence, R.I., 1965. Zbl0127.19105
8. [8] Lasalle M., Séries de Laurent des fonctions holomorphes dans la complexification d'un espace symétrique compact, Ann. Sci. Ecole Norm. Sup. (4) 11 (1978), 167-210 Zbl0452.43011
9. [9] Loeb J. J., Plurisousharmonicité et convexité sur les groupes réductifs complexes, Publ. IRMA Lille 2 (8) (1986). 
10. [10] Pflug P., Über polynomiale Funktionen auf Holomorphiegebieten, Math. Z. 139 (1974), 133-139 
11. [11] Rothaus O., Envelopes of holomorphy of domains in complex Lie groups, in: Problems of Analysis, Princeton Univ. Press, Princeton, 1970, 309-317 
12. [12] Sergeev A. G., On matrix Reinhardt and circled domains, in: Several Complex Variables. Proc. Mittag-Leffler Inst., Princeton Univ. Press, Princeton, 1993, 573-586 Zbl0778.32002
13. [13] Sibony N., Prolongement des fonctions holomorphes bornées et métrique de Carathéodory, Invent. Math. 29 (1975), 205-230 Zbl0333.32011
14. [14] Vladimirov V. S., Several complex variables in mathematical physics, in: Lecture Notes in Math. 919, Springer, Berlin, 1982, 358-386 
15. [15] X. Zhou, On matrix Reinhardt domains, Math. Ann. 287 (1990), 35-46 Zbl0672.32003
16. [16] X. Zhou, On orbit connectedness, orbit convexity, and envelopes of holomorphy, Math. USSR-Izv., to appear. Zbl0835.32006