From the Preface by V. S. VARADARAJAN: These volumes of the Collected Papers of Harish-Chandra are being brought out in response to a widespread feeling in the mathematical community that they would immensely benefit scholars and research workers, especially those in analysis, representation theory, arithmetic, mathematical physics, and other related areas. lt is hoped that in addition to making his contributions more accessible by collecting them in one place, these volumes would help focus renewed attention on his ideas and methods as well as lend additional perspective to them.

The papers are arranged chronologically, Volume IV collects Harish-Chandra's articles written between 1970 and 1983.

Klappentext

From the Preface by V. S. VARADARAJAN: These volumes of the Collected Papers of Harish-Chandra are being brought out in response to a widespread feeling in the mathematical community that they would immensely benefit scholars and research workers, especially those in analysis, representation theory, arithmetic, mathematical physics, and other related areas. lt is hoped that in addition to making his contributions more accessible by collecting them in one place, these volumes would help focus renewed attention on his ideas and methods as well as lend additional perspective to them. The papers are arranged chronologically, Volume IV collects Harish-Chandra's articles written between 1970 and 1983.

Inhalt

Some applications of the Schwartz space of a semisimple Lie group.- Eisenstein series over finite fields.- Harmonic analysis on semisimple Lie groups.- Harmonic analysis on reductive p-adic groups (Introduction).- On the theory of the Eisenstein integral.- Harmonic analysis on reductive p-adic groups.- Harmonic analysis on real reductive groups I. The theory of the constant term.- Harmonic analysis on real reductive groups. II. Wave packets in the Schwartz space.- Harmonic analysis on real reductive groups III. The Maass-Selberg relations and the Plancherel formula.- The characters of reductive p-adic groups.- The Plancherel formula for reductive p-adic groups.