The seminal 1989 work of Douglas and Paulsen on the theory of analytic Hilbert modules precipitated a number of major research efforts. This in turn led to some intriguing and valuable results, particularly in the areas of operator theory and functional analysis. With the field now beginning to blossom, the time has come to collect those results un

Xiaoman Chen, Kunyu Guo

1 Introduction

2 Characteristic spaces and algebraic reduction

3 Rigidity for analytic Hilbert modules

4 Equivalence of Hardy submodules

5 Reproducing function spaces on the complex n-space

6 The Arveson module

7 Extensions of Hilbert modules

References

Index