The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition

The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new de

A virtually self-contained treatment of Hilbert space theory which is suitable for advanced undergraduates and graduate students.

This volume is part of the collaboration agreement between Springer and the ISAAC society. This is the first in the two-volume series originating from the 2020