An Introduction to Complex Analysis in Several Variables, 3rd Edition
Lars Hörmander
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.
Kategori:
Tahun:
1990
Penerbit:
Elsevier, Academic Press
Bahasa:
english
Halaman:
268
ISBN 10:
0444884467
ISBN 13:
9780444884466
Nama siri:
North-Holland Mathematical Library 7
Fail:
DJVU, 7.81 MB
IPFS:
,
english, 1990