## Holomorphic approximation on totally real submanifolds of a complex manifold.(English)Zbl 0219.32010

### MSC:

 32E30 Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs 32V40 Real submanifolds in complex manifolds
Full Text:

### References:

 [1] E. M. Čirka, Approximation by holomorphic functions on smooth manifolds in \?$$^{n}$$, Mat. Sb. (N.S.) 78 (120) (1969), 101 – 123 (Russian). [2] Hans Grauert, On Levi’s problem and the imbedding of real-analytic manifolds, Ann. of Math. (2) 68 (1958), 460 – 472. · Zbl 0108.07804 [3] Hans Grauert and Ingo Lieb, Das Ramirezsche Integral und die Lösung der Gleichung \partial \?=\? im Bereich der beschränkten Formen, Rice Univ. Studies 56 (1970), no. 2, 29 – 50 (1971) (German). · Zbl 0217.39202 [4] Reese Harvey, Hyperfunctions and linear partial differential equations, Proc. Nat. Acad. Sci. U.S.A. 55 (1966), 1042 – 1046. · Zbl 0138.36303 [5] Reese Harvey, The theory of hyperfunctions on totally real subsets of a complex manifold with applications to extension problems, Amer. J. Math. 91 (1969), 853 – 873. · Zbl 0202.36602 [6] L. Hörmander and J. Wermer, Uniform approximation on compact sets in \?$$^{n}$$, Math. Scand. 23 (1968), 5 – 21 (1969). · Zbl 0181.36201 [7] A. Martineau, Distributions et valeurs au bord des fonctions holomorphes, Theory of Distributions (Proc. Internat. Summer Inst., Lisbon, 1964), Inst. Gulbenkian Ci., Lisbon, 1964, pp. 193 – 326 (French). [8] Ricardo Nirenberg and R. O. Wells Jr., Approximation theorems on differentiable submanifolds of a complex manifold, Trans. Amer. Math. Soc. 142 (1969), 15 – 35. · Zbl 0188.39103 [9] Enrique Ramírez de Arellano, Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis, Math. Ann. 184 (1969/1970), 172 – 187 (German). · Zbl 0189.09702
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.