The Schur Algorithm, Reproducing Kernel Spaces and System Theory

This book is an impressive survey of recent research in the applications of Reproducing Kernel Hilbert Spaces to complex analytic function theory, and, in particular to the study of functions which are analytic on the open unit disk in the complex plane.This book is accessible to anybody who has mastered the essentials of complex function theory, Banach space theory, and Hilbert space theory to the depth that is found in the first half of Walter Rudin's book "Real and Complex Analysis".