New Constructions of Functions Holomorphic in the Unit Ball Cn (Cbms Regional Conference Series in Mathematics)

The lectures, presented at a CBMS Regional Conference held in 1985, are organized into a body of results discovered in the preceding four years in this field, simplifying some of the proofs and generalizing some results. The book also contains results that were obtained by Monique Hakina, Nessim Sibony, Erik Løw and Paula Russo. Some of these are new even in one variable.

An appreciation of techniques not previously used in the context of several complex variables will reward the reader who is reasonably familiar with holomorphic functions of one complex variable and with some functional analysis.