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Bulletin of the American Mathematical Society

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A strange bounded smooth domain of holomorphy


Authors: Klas Diederich and John Erik Fornaess
Journal: Bull. Amer. Math. Soc. 82 (1976), 74-76
MSC (1970): Primary 32F15; Secondary 32E25, 46J15
DOI: https://doi.org/10.1090/S0002-9904-1976-13964-X
MathSciNet review: 0397019
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  • 1. H. Behnke and P. Thullen, Zur Theorie der Singularitäten der Funktionen mehrerer komplexen Veränderlichen. Das Konvergenzproblem der Regularitätshüllen, Math. Ann. 108 (1933), 91-104. MR 1512836
  • 2. E. M. Čirka, Approximation by holomorphic functions on smooth manifolds in Cn, Mat. Sb. 78 (120) (1969), 101-123 = Math. USSR Sb. 7 (1969), 95-113. MR 39 #480. MR 239121
  • 3. K. Diederich and J. E. Fornaess, Exhaustion functions and Stein neighborhoods for smooth pseudoconvex domains, Proc. Nat. Acad. Sci. U.S.A. (to appear). MR 390283
  • 4. J. J. Kohn and L. Nirenberg, A pseudo-convex domain not admitting a holomorphic support function, Math. Ann. 201 (1973), 265-268. MR 48 #8850. MR 330513
  • 5. R. O. Wells, Jr., Function theory on differentiable submanifolds, Contributions to Analysis, ed. L. V. Ahlfors et al, Academic Press, New York and London 1974, pp. 407-441. MR 357856

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DOI: https://doi.org/10.1090/S0002-9904-1976-13964-X

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