Several complex variables 01: introduction to complex analysis

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I have been out of touch with this area for some time. I'm sure there are more "modern" texts out there that would be fine for your purposes.

Introduction to Complex Analysis, Part 2; Functions of Several Variables by B V Shabat -

Perhaps another responder could steer you toward them. I know there is a book by Stephen Krantz, for instance, but have no first-hand knowledge of it. Sign up to join this community. The best answers are voted up and rise to the top.

Introduction to Complex Analysis in Several Variables

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Featured on Meta. Unicorn Meta Zoo 8: What does leadership look like in our communities? Their study leads to an unusual combination of analysis, geometry, and algebra. Progress has led to complex variables analogues of Hilbert's seventeenth problem, to isometric imbedding theorems, to a new kind of complexity theory, and to helical CR structures.

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Recent investigations have led to number-theoretic questions that form the foundation for the proposed work. This work will continue to impact complex analysis, especially via the portion concerning positivity conditions, but it will also broaden the scope of CR Geometry to include applications to complexity theory and to number theory. The proposer has organized several meetings around these topics, a program in at MSRI for graduate students and a workshop in at AIM for researchers.

He will be giving a course at PCMI to graduate students on related material. Finally, he has introduced both his postdoctoral fellow Jiri Lebl and his current graduate student Dusty Grundmeier to the possible new applications of CR geometry.

Complex Variables

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