Holomorphic functions and integral representations in several complex variables / R. Michael Range

Auteur principal : Range, R. Michael, AuteurType de document : MonographieCollection : Graduate texts in mathematics, 108Langue : anglais.Pays: Etats Unis.Éditeur : New York : Springer-Verlag, 1986Description : 1 vol. (XVIII-386 p.) : fig. ; 24 cmISBN: 9780387962597.ISSN: 0072-5285.Bibliographie : Bibliogr. p. 363-373. Index.Sujet MSC : 32A25, Holomorphic functions of several complex variables, Integral representations; canonical kernels (Szegő, Bergman, etc.)
32A10, Holomorphic functions of several complex variables, Holomorphic functions
32Txx, Several complex variables and analytic spaces - Pseudoconvex domains
32W05, Differential operators in several variables, ∂¯ and ∂¯-Neumann operators
32Hxx, Several complex variables and analytic spaces - Holomorphic mappings and correspondences
En-ligne : Springerlink | Zentralblatt | MathSciNet
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32 RAN (Browse shelf(Opens below)) 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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