Harmonic Analysis and Group Representations : Lectures Given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Cortona (Arezzo), Italy, June 24 - July 9, 1980

This title includes: Lectures - A. Auslander, R. Tolimeri - Nilpotent groups and abelian varieties, M Cowling - Unitary and uniformly bounded representations of some simple Lie groups, M. Duflo - Construction de representations unitaires d'un groupe de Lie, R. Howe - On a notion of rank for unitary representations of the classical groups, V.S. Varadarajan - Eigenfunction expansions of semisimple Lie groups, and R. Zimmer - Ergodic theory, group representations and rigidity; and, Seminars - A. Koranyi - Some applications of Gelfand pairs in classical analysis Content: Front Matter....Pages i-iii Lectures on Nilpotent Groups and Abelian Varieties....Pages 6-47 Unitary and Uniformly Bounded Representations Of Some Simple Lie Groups....Pages 50-128 Construction De Representations Unitaires D'un Groupe De Lie....Pages 130-220 On A Notion of Rank for Unitary Representations of the Classical Groups....Pages 224-331 Some Applications of Gelfand Pairs in Classical Akalysis....Pages 334-348 Eigenfunction Expansions On Semisimple Lie Groups....Pages 349-422 Ergodic Theory, Group Representations, and Rigidity....Pages 424-484 Annotation Lectures: A. Auslander, R. Tolimeri: Nilpotent groups and abelian varieties.- M Cowling: Unitary and uniformly bounded representations of some simple Lie groups.- M. Duflo: Construction de representations unitaires dun groupe de Lie.- R. Howe: On a notion of rank for unitary representations of the classical groups.- V.S. Varadarajan: Eigenfunction expansions of semisimple Lie groups.- R. Zimmer: Ergodic theory, group representations and rigidity.- Seminars: A. Koranyi: Some applications of Gelfand pairs in classical analysis Edited By A. Figà-talamanca. Originally Published: Napoli: Liguori, 1980. Includes Bibliographical References.