This volume contains an important progress on the theory of subnormal operators in the past thirty years, which was developed by the author and his collaborator

"In a certain sense, subnormal operators were introduced too soon because the theory of function algebras and rational approximation was also in its infancy and

By a Hilbert-space operator we mean a bounded linear transformation be tween separable complex Hilbert spaces. Decompositions and models for Hilbert-space opera

Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.

The 2-volume book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a co