# Holomorphic Spaces

## edited by Sheldon Axler, John M^{c}Carthy, and Donald Sarason

The term *holomorphic spaces* is short for *spaces of holomorphic
functions.*
It refers not so much to a branch of mathematics as to a common thread running
through much of modern analysis—through functional analysis, operator theory,
harmonic analysis, and, of course, complex analysis.

This book is a collection of expository articles arising from MSRI’s fall 1995
program on holomorphic spaces. The opening article, by Donald Sarason, gives
an overview of several aspects of the subject. The remaining articles, while
more specialized, are nevertheless designed in varying degrees to be accessible
to the nonexpert; some are minicourses in themselves. A range of topics is
discussed:

- Bergman spaces
- Hankel operators in various guises
- the Dirichlet space
- subnormal operators
- operator models, interpolation problems, systems theory
- commuting families of nonselfadjoint operators

Free electronic version

Hardcover: ISBN 978-0-521-63193-8; order from amazon.com

Softcover: ISBN 978-0-521-10103-5; order from amazon.com