Lectures in Modern Analysis and Applications I

Inhaltsverzeichnis

• Bounded analytic functions in the unit disk.
• Strongly pseudoconvex manifolds.
• Banach algebras and uniform approximation.
• Extension of results from several complex variables to general function algebras.
• The Cauchy problem for differential equations with constant coefficients.
• Local Cauchy problem for linear partial differential equations with analytic coefficients.
• Algebraic topology and operators in Hilbert space.
• Deformations of Riemann surfaces.
• Global stability questions in dynamical systems.