Big-Planes, Boundaries and Function Algebras

Treated in this volume are selected topics in analytic -almost-periodic functions and their representations as -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 -almost-periodic structures and structures of -analytic big-manifolds respectively in commutative Banach algebra spectra are also discussed.