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Uniform approximation on totally real sets. (English) Zbl 0444.32007


MSC:

32E30 Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs
32E35 Global boundary behavior of holomorphic functions of several complex variables
32C05 Real-analytic manifolds, real-analytic spaces
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References:

[1] Carleman, T.: Sur un théorème de Weierstrass. Ark. Math. Ast. Fys.20, 1–5 (1927) · JFM 53.0237.02
[2] Harvey, F.R., Wells, R.O., Jr.: Holomorphic approximation and hyperfunction theory on a C1 totally real submanifold of a complex manifold. Math. Ann.197, 287–318 (1972) · Zbl 0246.32019 · doi:10.1007/BF01428202
[3] Harvey, F.R., Wells, R.O., Jr.: Zero sets of non-negative stricly plurisubharmonic functions. Math. Ann.201, 165–170 (1973) · Zbl 0253.32009 · doi:10.1007/BF01359794
[4] Hörmander, L., Wermer, J.: Uniform approximation on compact sets in C n Math. Scand.23, 5–21 (1968) · Zbl 0181.36201
[5] Nirenberg, R., Wells, R.O., Jr.: Approximation theorey on differentiable submanifolds of a complex manifold. Trans. Am. Math. Soc.142 (1969) · Zbl 0188.39103
[6] Nunemacher, J.: Approximation theory on totally real submanifolds. Math. Ann.224, 129–141 (1976) · Zbl 0333.32015 · doi:10.1007/BF01436194
[7] Sakai, A.: Uniform approximation in several complex variables. Osaka J. Math.15, 589–611 (1978) · Zbl 0409.32013
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