Lectures in Modern Analysis and Applications I [electronic resource] / by M. F. Atiyah, J. Eells, K. M. Hoffman, L. Hörmander, C. E. Rickart, H. Rossi, S. Smale, F. Treves, J. Wermer ; edited by C. T. Taam.

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.