Big-Planes, Boundaries and Function Algebras

Treated in this volume are selected topics in analytic Ggr;-almost-periodic functions and their representations as Ggr;-analytic functions in the big-plane; n -tuple Shilov boundaries of function spaces, minimal norm principle for vector-valued functions and their applications in the study of vector-valued functions and n -tuple polynomial and rational hulls. Applications to the problem of existence of n -dimensional complex analytic structures, analytic Ggr;-almost-periodic structures and structures of Ggr;-analytic big-manifolds respectively in commutative Banach algebra spectra are also discussed.