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Book Review
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Book Information
Author(s):
L. A. Aĭzenberg and A. P. Yuzhakov
Title:
Integral representations and residues in multidimensional complex analysis
Additional book information:
Translations of Mathematical Monographs, Vol. 58, American Mathematical Society, 1983, x + 283 pp., $68.00. ISBN 0-8218-4511-X
References:
- 1.
- S. Bergman, The kernel function and conformal mapping, Math. Surveys, no. 5, Amer. Math. Soc. Providence, R. I., 1950. MR 38439
- 2.
- S. Bochner, Analytic and meromorphic continuation by means of Green's formula, Ann. of Math. (2) 44 (1943), 652-673. MR 9206
- 3.
- B. A. Fuks, Introduction to the theory of analytic functions of several complex variables. Transl. Math. Monos., vol. 18, Amer. Math. Soc. Providence, R. I., 1963. MR 168793
- 4.
- A. Gleason, The Cauchy-Weil theorem, J. Math. Mech. 12 (1963), 429-444. MR 148938
- 5.
- P. Griffiths and J. Harris, Principles of algebraic geometry, Wiley, 1978. MR 507725
- 6.
- R. C. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice-Hall, Englewood Cliffs, N. J., 1965. MR 180696
- 7.
- F. R. Harvey, Integral formulae connected by Dolbeault's isomorphism, Complex Analysis (Proc. Conf., Rice Univ., Houston, Tex., 1969), Rice Univ. Studies 56 (1971), 77-97. MR 273067
- 8.
- G. M. Henkin, Integral representations of functions holomorphic in strictly pseudoconvex domains and some applications, Math. USSR Sb. 7 (1969), 597-616.
- 9.
- L. V. Hörmander, An introduction to complex analysis in several variables, Van Nostrand, Princeton, N. J., 1966. MR 203075
- 10.
- W. Koppelman, The Cauchy integral formula for differential forms, Bull. Amer. Math. Soc. 73 (1967), 554-556. MR 216027
- 11.
- W. Koppelman, The Cauchy integral for functions of several complex variables, Bull. Amer. Math. Soc. 73 (1967), 373-377. MR 209519
- 12.
- J. Leray, Le calcul différentiel et intégral sur une variété analytique complexe (Problème de Cauchy. III), Bull. Soc Math. France 87 (1959), 81-180. MR 125984
- 13.
- E. Martinelli, Alcuni teoremi integrali per le funzioni analitiche de più variabili complesse, R. Accad. Ital. Mem. Cl. Sci. Fis. Mat. e Nat. 9 (1938), 269-283.
- 14.
- H. Poincaré, Sur les résidues des intégrals doubles, Acta Math. 9 (1886/1887), 321-380. MR 1554721
- 15.
- E. Ramirez de Arellano, Ein Divisionproblem und Randintegraldarstellungen in der komplexen Analysis, Math. Ann. 184 (1970), 172-187. MR 269874
- 16.
- A. Weil, L'intégral de Cauchy et les fonctions de plusieurs variables complex, Math. Ann. 3 (1935), 178-182. MR 1512987
Additional Information:
Reviewer(s):
Edgar Lee
Stout
Review Information:
Journal:
Bull. Amer. Math. Soc.
11
(1984),
417-420.
DOI:
10.1090/S0273-0979-1984-15339-4
PII:
S 0273-0979(1984)15339-4
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