ENGLISH

Introduction to complex analysis in several variables

By Lars Hörmander

Book information

Publisher
Elsevier Science Ltd
Year
1973
ISBN
9780444105233, 0444105239
ISSN
0924-6509
LCC
QA331 .H64 1973
Open Library ID
OL5433974M
Language
english
Format
DJVU
Filesize
1 MB (1447938 bytes)
Series
North-Holland mathematical library 7
Edition
2
Pages
222\222
Library
Kolxo3
DPI
300
Orientation
yes
Scanned
yes
Time added
2009-07-20 03:45:11

Description

A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main tool. The additions made in this third, revised edition place additional stress on results where these methods are particularly important. Thus, a section has been added presenting Ehrenpreis' ``fundamental principle'' in full. The local arguments in this section are closely related to the proof of the coherence of the sheaf of germs of functions vanishing on an analytic set. Also added is a discussion of the theorem of Siu on the Lelong numbers of plurisubharmonic functions. Since the L2 techniques are essential in the proof and plurisubharmonic functions play such an important role in this book, it seems natural to discuss their main singularities.

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