ENGLISH

Holomorphic Functions and Integral Representations in Several Complex Variables

By R.M. Range

Book information

Publisher
Springer-Verlag GmbH
Year
1986
ISBN
354096259X, 9783540962595
Open Library ID
OL9336562M
Language
english
Format
DJVU
Filesize
2 MB (2490515 bytes)
Series
Graduate texts in mathematics 108
Pages
406\406
Time added
2011-01-06 10:13:16

Description

This is an introductory text in several complex variables, using methods of integral representations. It begins with elementary local results, discusses basic new concepts of the multi-dimensional theory such as pseudoconvexity and holomorphic convexity, and leads up to complete proofs of fundamental global results, both classical and new. The use of integral representation techniques makes it possible to treat the subject with a minimum of prerequisites, and it has the further advantage that it uses the multivariable forms of theorem with which the students are already acquainted. This book also provides a systematic introduction to integral representation methods and their applications, including a simplified proof of C. Fefferman's famous mapping theorem.

Similar books