Unitary representations and harmonic analysis : an introduction The principal aim of this book is to give an introduction to harmonic analysis and the theory of unitary representations of Lie groups. The second edition has been brought up to date with a number of textual changes in each of the five chapters a new appendix on Fatous theorem has been added in connection with the limits of discrete series and the bibliography has been tripled in length Front Cover; Unitary Representations and Harmonic Analysis; Copyright Page; Preface to the Second Edition; Preface; Contents; Conventions and Notations; Chapter I. Fourier series and the torus group T; Chapter II. Representations of SU(2) and SO(3); Chapter III. The Fourier transform and unitary representations of Rn; Chapter IV. The Euclidean motion group; Chapter V. Unitary representation of SL(2 R); Appendix; Notes; Bibliography; Index