Several Complex Variables II

This volume of the Encyclopaedia contains four parts each of
which being an informative survey of a topic in the field of
several complex variables. Thefirst deals with residue
theory and its applications to integrals depending on
parameters, combinatorial sums and systems of algebraic
equations. The second part contains recent results in
complex potential theory and the third part treats function
theory in the unit ball covering research of the last twenty
years. The latter part includes an up-to-date account of
research related to a list of problems, which was published
by Rudin in 1980.
The last part of the book treats complex analysis in the
futuretube. The future tube is an important concept in
mathematical physics, especially in axiomatic quantum field
theory, and it is related to Penrose'swork on „the complex
geometry of the real world“.
Researchers and graduate students in complex analysis and
mathematical physics will use thisbook as a reference and
as a guide to exciting areas of research.