**CBMS Regional Conference Series in Mathematics**

Volume: 14;
1972;
64 pp;
Softcover

MSC: Primary 22;
Secondary 43; 53; 58

Print ISBN: 978-0-8218-1664-6

Product Code: CBMS/14

List Price: $28.00

Individual Price: $22.40

**Electronic ISBN: 978-1-4704-2374-2
Product Code: CBMS/14.E**

List Price: $28.00

Individual Price: $22.40

# Analysis on Lie Groups and Homogeneous Spaces

Share this page
*S. Helgason*

A co-publication of the AMS and CBMS

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 & Endorsements

The results in these notes are mainly due to Harish-Chandra 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

# Table of Contents

## Analysis on Lie Groups and Homogeneous Spaces

- Cover Cover11 free
- Title i2 free
- Copyright ii3 free
- Table of Contents v6 free
- Introduction 18 free
- Chapter I. Some geometric properties of differential Operators 411 free
- Chapter II. Spherical functions on Symmetric Spaces 2431
- Chapter III. Conical distributions on the space of horocycles 3744
- Chapter IV. Central eigendistributions and characters 4350
- Bibliography 6168
- Back Cover Back Cover172