Book Review
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MathSciNet review:
1567921
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Book Information:
Title:
, vol. 7 Encyclopaedia of mathematical sciences
Additional book information:
Several complex variables I (A. G. Vitushkin, ed.), Springer-Verlag, New York, Berlin, Heidelberg, 1990, 241 pp., $59.00. ISBN 0-387-17004-9.
Shreeram Shankar Abhyankar, Local analytic geometry, Pure and Applied Mathematics, Vol. XIV, Academic Press, New York-London, 1964. MR 0175897
Lennart Carleson, Interpolations by bounded analytic functions and the corona problem, Ann. of Math. (2) 76 (1962), 547–559. MR 141789, DOI 10.2307/1970375
S. S. Chern and J. K. Moser, Real hypersurfaces in complex manifolds, Acta Math. 133 (1974), 219–271. MR 425155, DOI 10.1007/BF02392146
4. M. Chirka, Complex analytic sets (Russian), Nauka, Moscow, 1985. (English translation: Kluwer Academic, Dordrecht and Boston, 1989.)
Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. MR 0180696
Nessim Sibony, Problème de la couronne pour des domaines pseudoconvexes à bord lisse, Ann. of Math. (2) 126 (1987), no. 3, 675–682 (French). MR 916722, DOI 10.2307/1971364
7. A. K. Tsikh, Multidimensional residues and their applications, (Russian), Nauka, Novosibirsk, 1988.
A. G. Vitushkin, Real-analytic hypersurfaces of complex manifolds, Uspekhi Mat. Nauk 40 (1985), no. 2(242), 3–31, 237 (Russian). MR 786085
- 1.
- S. S. Abhyankar, Local analytic geometry, Academic Press, New York and London, 1964. MR 0175897
- 2.
- L. Carleson, Interpolation by bounded analytic functions and the corona problem, Ann. of Math. (2) 76 (1962), 547-559. MR 141789
- 3.
- S.-S. Chern and J. Moser, Real hypersurfaces in complex manifolds, Acta Math. 133 (1974), 219-271. MR 425155
- 4.
- M. Chirka, Complex analytic sets (Russian), Nauka, Moscow, 1985. (English translation: Kluwer Academic, Dordrecht and Boston, 1989.)
- 5.
- R. C. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice-Hall, Englewood Cliffs, NJ, 1965. MR 180696
- 6.
- N. Sibony, Problème de la couronne pour des domains pseudoconvexes à bord lisse, Ann. of Math. (2) 126 (1987), 675-682. MR 916722
- 7.
- A. K. Tsikh, Multidimensional residues and their applications, (Russian), Nauka, Novosibirsk, 1988.
- 8.
- A. G. Vitushkin, Real-analytic hypersurfaces in complex manifolds (Russian), Uspekhi Mat. Nauk 40 (2) (1985), 3-31. (English translation: Russian Math. Surveys 40 (2) (1985), 1-35. MR 786085
Review Information:
Reviewer:
Edgar Lee Stout
Journal:
Bull. Amer. Math. Soc.
24 (1991), 435-440
DOI:
https://doi.org/10.1090/S0273-0979-1991-16060-X