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Study Holomorphic Functions and Integral Representations in Several Complex Variables (Graduate Texts in Mathematics)

Posted on 2010-03-16




Name:Study Holomorphic Functions and Integral Representations in Several Complex Variables (Graduate Texts in Mathematics)
ASIN/ISBN:354096259X
Language:English
File size:2.4 Mb
Language: English
Publish Date: 1986-12-31
ISBN: 354096259X
Pages: 386 pages
File Size: 2,4 MB
Other Info: Springer-Verlag Berlin and Heidelberg GmbH & Co. K; DJVU
   Study Holomorphic Functions and Integral Representations in Several Complex Variables (Graduate Texts in Mathematics)



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R.M. Range "Holomorphic Functions and Integral Representations in Several Complex Variables (Graduate Texts in Mathematics)"

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.

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