This book is a continuation of vol. I (Grundlehren vol. 115, also
available in softcover), and contains a detailed treatment of some
important parts of harmonic analysis on compact and locally compact
abelian groups. From the reviews: "This work aims at giving a
monographic presentation of abstract harmonic analysis, far more
complete and comprehensive than any book already existing on the
subject...in connection with every problem treated the book offers a
many-sided outlook and leads up to most modern developments. Carefull
attention is also given to the history of the subject, and there is an
extensive bibliography...the reviewer believes that for many years to
come this will remain the classical presentation of abstract harmonic
analysis." Publicationes Mathematicae