MATH 623 Analytic Functions
Review of the classical theory of analytic functions and introduction to Banach spaces and Banach algebras; weak and strong analyticity of Banach space-valued functions, generalizations of classical theorems about analytic functions (e.g., Cauchy, Liouville, etc.); analytic functions in Banach algebras; application to Gelfand theory and Jacobson's theory of radicals; related topics. Prerequisites: 522 and 524.