Abstract Harmonic Analysis: Volume I Structure of Topological Groups Integration Theory Group Representations

Abstract

We intended that our book should be accessible to beginners,and we hoped to make it useful to specialists as well. These aims proved to be mutually inconsistent. H ence the present volume comprises only half of the projectedwork. It gives all of the struct ure oftopological groups neededfor harmonic analysis as it is known to us; it treats integration on locally compact groups in detail;it contains an introductionto the theory of group representations. In the second volume we will treat harmonic analysis oncompactgroups and locallycompactAb eliangroups, in considerable detail