Geodesic
Approximation by holomorphic functions on smooth manifolds in $\mathbf C^n$
Sbornik. Mathematics, Tome 7 (1969) no. 1, pp. 95-114
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{SM_1969_7_1_a4,
     author = {E. M. Chirka},
     title = {Approximation by holomorphic functions on smooth manifolds in~$\mathbf C^n$},
     journal = {Sbornik. Mathematics},
     pages = {95--114},
     year = {1969},
     volume = {7},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1969_7_1_a4/}
}
TY  - JOUR
AU  - E. M. Chirka
TI  - Approximation by holomorphic functions on smooth manifolds in $\mathbf C^n$
JO  - Sbornik. Mathematics
PY  - 1969
SP  - 95
EP  - 114
VL  - 7
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1969_7_1_a4/
LA  - en
ID  - SM_1969_7_1_a4
ER  - 
%0 Journal Article
%A E. M. Chirka
%T Approximation by holomorphic functions on smooth manifolds in $\mathbf C^n$
%J Sbornik. Mathematics
%D 1969
%P 95-114
%V 7
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1969_7_1_a4/
%G en
%F SM_1969_7_1_a4
E. M. Chirka. Approximation by holomorphic functions on smooth manifolds in $\mathbf C^n$. Sbornik. Mathematics, Tome 7 (1969) no. 1, pp. 95-114. http://geodesic.mathdoc.fr/item/SM_1969_7_1_a4/

[1] E. Bishop, “Differentiate manifolds in complex euclidean space”, Duke Math. J., 32:1 (1965), 1–21 | DOI | MR | Zbl

[2] E. Bishop, “Minimalnaya granitsa funktsionalnykh algebr”, Nekotorye voprosy teorii priblizhenii, IL, M., 1963

[3] R. O. Wells, “On the local holomorphic null of a real submanifold in several complex variables”, Comm. Pure Appl. Math., 19:2 (1966), 145–165 | DOI | MR | Zbl

[4] R. O. Wells, “Holomorphic approximation on real-analytic submanifolds of a complex manifold”, Proc. Amer. Math. Soc., 17:6 (1966), 1272–1275 | DOI | MR | Zbl

[5] R. Nirenberg, R. O. Wells, “Holomorphic approximation on real submanifolds of a complex manifold”, Bull. Amer. Math. Soc., 73:3 (1967), 378–381 | DOI | MR | Zbl

[6] C. H. Mergelyan, “Ravnomernoe priblizhenie funktsii kompleksnogo peremennogo”, Uspekhi matem. nauk, VII (1952), 31–122 | MR

[7] L. Khermander, “Otsenki v $L^2$ i teoremy suschestvovaniya dlya operatora $\overline\partial$”, Matematika, 10:2 (1966), 59–116

[8] L.Khermander, Vvedenie v teoriyu funktsii neskolkikh kompleksnykh peremennykh, Mir, M., 1968 | MR

[9] V. P. Palamodov, Lineinye differentsialnye operatory s postoyannymi koeffitsientami, Nauka, M., 1967 | MR

[10] E. Kallin, “A non local function algebra”, Proc. Nat. Acad. Sci. USA., 49:6 (1963), 821–824 | DOI | MR | Zbl

[11] H. Rossi, “The local maximum modules principle”, Ann. Math., 72:1 (1960), 1–11 | DOI | MR | Zbl

[12] H. Rossi, “Holomorphically convex sets in several complex variables”, Ann. Math., 74:3 (1961), 470–493 | DOI | MR | Zbl

[13] V. S. Vladimirov, Metody teorii funktsii mnogikh kompleksnykh peremennykh, Nauka, M., 1964 | MR

[14] U. Rudin, “Podalgebry prostranstv nepreryvnykh funktsii”, Nekotorye voprosy teorii priblizhenii, IL, M., 1963

[15] J. Wermer, “Approximation on a disk”, Math. Ann., 155:4 (1964), 331–333 | DOI | MR | Zbl

[16] J. Wermer, “Polynomially convex disks”, Math. Ann., 158:1 (1965), 6–10 | DOI | MR | Zbl

[17] I. Glicksberg, “Maximal algebras and a theorem of Radó”, Pacific J. Math., 14:3 (1964), 919–941 | MR

[18] K. Hoffman, I. M. Singer, “Maximal algebras of continuous functions”, Acta Math., 103:3,4 (1960), 217–241 | DOI | MR | Zbl

[19] Zh. Dedonne, Osnovy sovremennogo analiza, Mir, M., 1964