Analysis on Lie Groups and Homogeneous ... | WHSmith Books

# Analysis on Lie Groups and Homogeneous Spaces (CBMS Regional Conference Series in Mathematics)

Paperback

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£25.50

### Description

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: $T$ is an eigendistribution of each $D\in D(V)$; and $T$ is invariant under $H$.

### 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.

### Product Details

• ISBN13: 9780821816646
• Format: Paperback
• Number Of Pages: 64
• ID: 9780821816646
• ISBN10: 0821816640

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