• OF VOLUME 1: Preliminaries. Integration Theories and Banach Bundles. Locally Compact Groups. Algebraic Representation Theory. Locally Convex Representations and Banach Algebras. C*-Algebras and Their *-Representations. The Topology of the Space of *-Representations. Appendixes. Bibliography.

"The authors have succeeded admirably, and these two volumes are a pleasure to read as well as being a valuable reference.[It] contains a valuable explanation of the relationship between representation theory and physics which every mathematician should be made aware of." --MATHEMATICAL REVIEWS"There are many helpful remarks and asides throughout the text as well as extensive exercises and historical discussions at the end of each chapter. These two volumes are a valuable addition to anyone's library as well as a pleasurable avenue to representation theory." --MATHEMATICAL REVIEW"The work is a most authoritative account of representation theory and Mackey's theory; it will no doubt become the standard work of references in thefield for years to come." --MONATSHEFTE FUR MATHEMATIK"These volumes have been prepared with great care. The exposition is clear and thorough." --AMERICAN MATHEMATICAL MONTHLY