CBMS Regional Conference Series in Mathematics 1972; 64 pp; softcover Number: 14 Reprint/Revision History: reprinted with corrections 1977; fifth printing 2001 ISBN10: 0821816640 ISBN13: 9780821816646 List Price: US$28 Member Price: US$22.40 All Individuals: US$22.40 Order Code: CBMS/14
 The theme of this volume is a treatment of differential equations on a \(C^\infty\) manifold \(V\) by separation of variables techniques. More specifically, given a Lie transformation group \(L\) of \(V\) and a Lie subgroup \(H\subset L\), if \(D(V)\) is the set of differential operators on \(V\) invariant under \(L\), then the principal object of study is the set of distributions \(T\) on \(V\) satisfying the following two conditions:(i) \(T\) is an eigendistribution of each \(D\in D(V)\); (ii) \(T\) is invariant under \(H\). Readership Reviews "The results in these notes are mainly due to HarishChandra and the author. The common point of view in the treatment of these ... important examples is very interesting."  E. Thoma, Mathematical Reviews Table of Contents  Introduction
 Some geometric properties of differential operators
 Spherical functions on symmetric spaces
 Conical distributions on the space of horocycles
 Central eigendistributions and characters
 Bibliography
