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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