This book is concerned with developing some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader and all relevant material is developed within the text. Furthermore, the book deals with problems of uniform approximation on compact subsets of the space of n complex variables.
Includes a wealth of new material developed since the previous edition Raises new questions and new methods of proofs in function theory The authors are well known and have written other Springer titles
Herbert Alexander
Banach algebra Cohomology Pseudoconvexity algebra maximum subharmonic function