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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
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
H.
Behnke, Zur Theorie der Singularitäten der Funktionen mehrerer
komplexen Veränderlichen, Math. Ann. 108 (1933),
no. 1, 91–104 (German). MR
1512836, http://dx.doi.org/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
(39 #480)
- 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
(52 #11109)
- 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
(48 #8850)
- 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
(50 #10322)
- 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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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1976-13964-X
PII:
S 0002-9904(1976)13964-X
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