# The Cauchy-Riemann Complex: Integral Formulae and Neumann Problem

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*Ingo Lieb; Joachim Michel*

A publication of Vieweg+Teubner

Distributed by the AMS for the respected publishing house of Vieweg Verlag,
this book presents complex analysis of several variables from the point of view
of Cauchy-Riemann equations and integral representations. Some of the material
has not yet been covered in other texts.

The method of integral representations is developed to establish classical
results of complex analysis, both elementary and advanced, as well as subtle
existence and regularity theorems for Cauchy-Riemann equations on complex
manifolds. These results are applied to important questions in function
theory.

Prerequisites for reading the text are basic theory of functions of several
complex variables and a strong background in classical analysis, in particular
distributions and integration theory. The book is a suitable text for advanced
graduate courses and research seminars on several complex variables.

A publication of Vieweg+Teubner. The AMS is exclusive distributor in North America. Vieweg+Teubner Publications are available worldwide from the AMS outside of Germany, Switzerland, Austria, and Japan.

#### Readership

Graduate students and research mathematicians interested in several complex variables.