Functions of One Complex Variable II: 159 (Graduate Texts in Mathematics, 159) - Hardcover

Buch 39 von 180: Graduate Texts in Mathematics

Conway, John B.

 
9780387944609: Functions of One Complex Variable II: 159 (Graduate Texts in Mathematics, 159)

Inhaltsangabe

This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, the level being gauged for graduate students. It treats several topics in geometric function theory as well as potential theory in the plane, covering in particular: conformal equivalence for simply connected regions, conformal equivalence for finitely connected regions, analytic covering maps, de Branges’ proof of the Bieberbach conjecture, harmonic functions, Hardy spaces on the disk, potential theory in the plane. A knowledge of integration theory and functional analysis is assumed.

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