Información General

• Autores: Carlos A. Berenstein Cortés, Roger Gay Blanco
• Editores: New York [etc : Springer-Verlag, 1991
• Año de publicación: 1991
• País: España
• Idioma: inglés
• ISBN: 0-387-97349-4
• Texto completo no disponible (Saber más ...)

Resumen

• This text gives an overview of the basic properties of holomorphic functions of one complex variable. Topics studied in this overview include a detailed description of differential forms, homotopy theory, and homology theory, as the analytic properties of holomorphic functions, the solvability of the inhomogeneous Cauchy-Riemann equation with emphasis on the notation of compact families, the theory of growth of subharmonic functions, and an introduction to the theory of sheaves, covering spaces and Riemann surfaces. To further illuminate the material, a large number of exercises of differing levels of difficulty have been added.

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Índice

• Topology of the Complex Plane and Holomorphic Functions.- Analytic Properties of Holomorphic Functions.- The a-Equation.- Harmonic and Subharmonic Functions.- Analytic Continuation and Singularities.- References.- Notation and Selected Terminology.- Index.