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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
MathSciNet review: 0397019
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  • 1. H. Behnke, Zur Theorie der Singularitäten der Funktionen mehrerer komplexen Veränderlichen, Math. Ann. 108 (1933), no. 1, 91–104 (German). MR 1512836, 10.1007/BF01452824
  • 2. E. M. Čirka, Approximation by holomorphic functions on smooth manifolds in 𝐶ⁿ, Mat. Sb. (N.S.) 78 (120) (1969), 101–123 (Russian). MR 0239121
  • 3. Klas Diederich and John Erik Fornaess, Exhaustion functions and Stein neighborhoods for smooth pseudo-convex domains, Proc. Nat. Acad. Sci. U.S.A. 72 (1975), no. 9, 3279–3280. MR 0390283
  • 4. J. J. Kohn and L. Nirenberg, A pseudo-convex domain not admitting a holomorphic support function, Math. Ann. 201 (1973), 265–268. MR 0330513
  • 5. R. O. Wells Jr., Function theory on differentiable submanifolds, Contributions to analysis (a collection of papers dedicated to Lipman Bers), Academic Press, New York, 1974, pp. 407–441. MR 0357856

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