Bulletin of the American Mathematical Society

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Book Information:

Authors: 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.

Stefan Bergman, The Kernel Function and Conformal Mapping, Mathematical Surveys, No. 5, American Mathematical Society, New York, N. Y., 1950. MR 0038439

S. Bochner, Analytic and meromorphic continuation by means of Green’s formula, Ann. of Math. (2) 44 (1943), 652–673. MR 9206, DOI 10.2307/1969103

B. A. Fuks, Theory of analytic functions of several complex variables, American Mathematical Society, Providence, R.I., 1963. Translated by A. A. Brown, J. M. Danskin and E. Hewitt. MR 0168793

Andrew M. Gleason, The Cauchy-Weil theorem, J. Math. Mech. 12 (1963), 429–444. MR 0148938

Phillip Griffiths and Joseph Harris, Principles of algebraic geometry, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York, 1978. MR 507725

Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. MR 0180696

F. Reese Harvey, Integral formulae connected by Dolbeault’s isomorphism, Rice Univ. Stud. 56 (1970), no. 2, 77–97 (1971). 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.

Lars Hörmander, An introduction to complex analysis in several variables, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1966. MR 0203075

Walter Koppelman, The Cauchy integral for differential forms, Bull. Amer. Math. Soc. 73 (1967), 554–556. MR 216027, DOI 10.1090/S0002-9904-1967-11744-0

Walter Koppelman, The Cauchy integral for functions of several complex variables, Bull. Amer. Math. Soc. 73 (1967), 373–377. MR 209519, DOI 10.1090/S0002-9904-1967-11757-9

Jean Leray, Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III), Bull. Soc. Math. France 87 (1959), 81–180 (French). 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.

H. Poincaré, Sur les résidus des intégrales doubles, Acta Math. 9 (1887), no. 1, 321–380 (French). MR 1554721, DOI 10.1007/BF02406742

Enrique Ramírez de Arellano, Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis, Math. Ann. 184 (1969/70), 172–187 (German). MR 269874, DOI 10.1007/BF01351561

André Weil, L’intégrale de Cauchy et les fonctions de plusieurs variables, Math. Ann. 111 (1935), no. 1, 178–182 (French). MR 1512987, DOI 10.1007/BF01472212

1.

S. Bergman, The kernel function and conformal mapping, Math. Surveys, no. 5, Amer. Math. Soc. Providence, R. I., 1950. MR 0038439

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