Softcover ISBN:  9780821816646 
Product Code:  CBMS/14 
List Price:  $30.00 
Individual Price:  $24.00 
Electronic ISBN:  9781470423742 
Product Code:  CBMS/14.E 
List Price:  $28.00 
Individual Price:  $22.40 

Book DetailsCBMS Regional Conference Series in MathematicsVolume: 14; 1972; 64 ppMSC: 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 \(H\).
Readership 
Table of Contents

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 HarishChandra and the author. The common point of view in the treatment of these … important examples is very interesting.
E. Thoma, Mathematical Reviews


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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

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