Lectures in Modern Analysis and Applications I

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.