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Programa completo – ementa e referência bibliográfica:
Lecture 1 - C versus Cn
Lecture 2 - Holomorphic functions and mappings on Cn
Lecture 3 - The Riemann's mapping theorem doesn't extend to several variables
Lecture 4 and 5 - Different kinds of convexity
Lecture 6 and 7 - Complex structures and holomorphicity
Lecture 8 and 9 - Integral formulas
Lecture 10 - On the solution of the dbar equation
Bibliografia:
Steven G. Krantz: Function Theory of Several Complex Variables, AMS Chelsea Publishing 2000.
R. Michael Range: Holomorphic Functions and Integral Representations in Several Complex Variables, Graduate Texts in Mathematics, Springer-Verlag 1998. |