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.
