Harish-Chandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a rich legacy that continues today. This book presents the proceedings of an AMS Special Session entitled, ""Representation Theory and Noncommutative Harmonic Analysis: A Special Session Honoring the Memory of Harish-Chandra"", which marked 75 years since his birth and 15 years since his untimely death at age 60. Contributions to the volume were written by an outstanding group of internationally known mathematicians. Included are expository and historical surveys and original research papers.The book also includes talks given at the IAS Memorial Service in 1983 by colleagues who knew Harish-Chandra well. Also reprinted are two articles entitled, ""Some Recollections of Harish-Chandra"", by A. Borel, and ""Harish-Chandra's c-Function: A Mathematical Jewel"", by S. Helgason. In addition, an expository paper, ""An Elementary Introduction to Harish-Chandra's Work"", gives an overview of some of his most basic mathematical ideas with references for further study. This volume offers a comprehensive retrospective of Harish-Chandra's professional life and work. Personal recollections give the book particular significance. Readers should have an advanced-level background in the representation theory of Lie groups and harmonic analysis. For other wonderful titles written by this author see: ""Euler through Time: A New Look at Old Themes"", ""Supersymmetry for Mathematicians: An Introduction"", ""The Selected Works of V.S. Varadarajan"", and ""Algebra in Ancient and Modern Times"".
Harish-Chandra, his work, and its legacy by V. S. Varadarajan Some recollections of Harish-Chandra by A. Borel Harish-Chandra memorial talk by S. Helgason Harish-Chandra memorial talk by R. P. Langlands Harish-Chandra memorial talk by G. D. Mostow Harish-Chandra memorial talk by V. S. Varadarajan An elementary introduction to Harish-Chandra's work by R. A. Herb Stabilization of a family of differential equations by J. Arthur Orbital integrals of nilpotent orbits by D. Barbasch Representation theory of $p$-adic groups: A view from operator algebras by P. F. Baum, N. Higson, and R. J. Plymen Bruhat filtrations and Whittaker vectors for real groups by W. Casselman, H. Hecht, and D. Milicic Germs, characters, and the Fourier transforms of nilpotent orbits by S. DeBacker and P. J. Sally, Jr. Bessel functions on boundary orbits and singular holomorphic representations by H. Ding, K. I. Gross, R. A. Kunze, and D. St. P. Richards Restriction of small discrete series representations to symmetric subgroups by B. Gross and N. Wallach Harish-Chandra's c-function. A mathematical jewel by S. Helgason Two-structures and discrete series character formulas by R. A. Herb Harish-Chandra homomorphisms by R. E. Howe Unitary representations and Osterwalder-Schrader duality by P. E. T. Jorgensen and G. Olafsson Intertwining operators and small unitary representations by A. W. Knapp On some problems in analysis suggested by representation theory by R. A. Kunze Distributional reciprocity and generalized Gelfand pairs by R. L. Lipsman Displacement functions on the Bruhat-Tits building by A. Moy Germs of characters of admissible representations by F. Murnaghan Seiberg-Witten equations on locally symmetric spaces by B. Speh Holomorphic double fibration transforms by J. A. Wolf and R. Zierau.