Sakai, Akira Uniform approximation on totally real sets. (English) Zbl 0444.32007 Math. Ann. 253, 139-144 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document 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 Keywords:uniform approximation; L2 estimates for delta; totally real subset of a complex manifold Citations:Zbl 0333.32015; Zbl 0409.32013 PDFBibTeX XMLCite \textit{A. Sakai}, Math. Ann. 253, 139--144 (1980; Zbl 0444.32007) Full Text: DOI EuDML 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.