Function Theory of Several Complex Variables

ISBN-13: 9780821827246 / Angielski / Twarda / 2001 / 340 str.

Steven G. Krantz

Opis

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 (for example, sheaves, and Cousin problems), the student with a background in real and complex variable theory, harmonic analysis, and differential equations should be most comfortable with this treatment.