Note on plurisubharmonic and Hartogs functions
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- by H. J. Bremermann PDF
- Proc. Amer. Math. Soc. 7 (1956), 771-775 Request permission
References
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H. Behnke and P. Thullen, Theorie der Funktionen mehrerer komplexer Veränderlichen, Ergebnisse der Mathematik vol. 3, no. 3, 1934.
- H. Behnke and K. Stein, Die Konvexität in der Funktionentheorie mehrerer komplexer Veränderlichen, Mitt. Math. Ges. Hamburg 8 (1940), 34–81 (German). MR 0002617
- Salomon Bochner and William Ted Martin, Several Complex Variables, Princeton Mathematical Series, vol. 10, Princeton University Press, Princeton, N. J., 1948. MR 0027863 T. Bonnesen and W. Fenchel, Theorie der konvexen Körper, Ergebnisse der Mathematik vol. 3, no. 1, 1934.
- Hans-Joachim Bremermann, Die Charakterisierung von Regularitätsgebieten durch pseudokonvexe Funktionen, Schr. Math. Inst. Univ. Münster 1951 (1951), no. 5, i+92 (German). MR 54735
- H. J. Bremermann, Complex convexity, Trans. Amer. Math. Soc. 82 (1956), 17–51. MR 79100, DOI 10.1090/S0002-9947-1956-0079100-2
- H. J. Bremermann, On the conjecture of the equivalence of the plurisubharmonic functions and the Hartogs functions, Math. Ann. 131 (1956), 76–86. MR 77644, DOI 10.1007/BF01354666
- Sin Hitotumatu, On some conjectures concerning pseudo-convex domains, J. Math. Soc. Japan 6 (1954), 177–195. MR 71090, DOI 10.2969/jmsj/00620177
- P. Lelong, Les fonctions plurisousharmoniques, Ann. Sci. École Norm. Sup. (3) 62 (1945), 301–338 (French). MR 0018304 P. Thullen, De la teoría de las funcíones analíticas de varias variables complejas. Dominios de regularidad y dominios de meromorfia de Reinhardt, Revista de la Unión Matemática Argentina vol. 9 (1945). Further references are contained in the bibliography of Bremermann [7].
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 771-775
- MSC: Primary 30.0X
- DOI: https://doi.org/10.1090/S0002-9939-1956-0081351-3
- MathSciNet review: 0081351