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32 RAN (Browse shelf) Available 09147-01

The methods of integral representations have invaded successfully the theory of functions of several complex variables in the 1970's, originating principally with the work of G. M. Henkin. The book under review is a textbook which presents an as elementary as possible exposition of this theory and of its main applications. The main topics covered are: integral representations of Cauchy-Fantappiè type, Levi problem and solution of ∂ ¯ on strictly pseudoconvex domains, integral representations of Henkin-Ramirez and estimates for the ∂ ¯-problem, boundary regularity of biholomorphic maps. Historical comments and indications on recent developments are given. (Zentralblatt)

Bibliogr. p. 363-373. Index

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