Function Theory of Several Complex Variables

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This work departs from earlier treatments of the subject by emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics, and mapping theory. While due homage is paid to the more traditional algebraic theory (sheaves, Cousin problems, etc.), the student with a background in real and complex variable theory, harmonic analysis, and differential equations will be most comfortable with this treatment.

Author(s): Steven G. Krantz
Series: Applied Mathematical Sciences Chelsea Publishing
Edition: 2nd ed
Publisher: American Mathematical Society
Year: 2001

Language: English
Pages: 579
City: Providence, RI