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Analysis on Lie Groups and Homogeneous Spaces

A co-publication of the AMS and CBMS
Available Formats:
Softcover ISBN: 978-0-8218-1664-6
Product Code: CBMS/14
List Price: $30.00 Individual Price:$24.00
Electronic ISBN: 978-1-4704-2374-2
Product Code: CBMS/14.E
List Price: $28.00 Individual Price:$22.40
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List Price: $45.00 Click above image for expanded view Analysis on Lie Groups and Homogeneous Spaces A co-publication of the AMS and CBMS Available Formats:  Softcover ISBN: 978-0-8218-1664-6 Product Code: CBMS/14  List Price:$30.00 Individual Price: $24.00  Electronic ISBN: 978-1-4704-2374-2 Product Code: CBMS/14.E  List Price:$28.00 Individual Price: $22.40 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$45.00
• Book Details

CBMS Regional Conference Series in Mathematics
Volume: 141972; 64 pp
MSC: Primary 22; Secondary 43; 53; 58;

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 $H$.

• Chapters
• 1. Introduction
• Chapter I. Some geometric properties of differential operators
• Chapter II. Spherical functions on symmetric spaces
• Chapter III. Conical distributions on the space of horocycles
• Chapter IV. Central eigendistributions and characters
• Reviews

• 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
• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 141972; 64 pp
MSC: Primary 22; Secondary 43; 53; 58;

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 $H$.