| eBook ISBN: | 978-1-4704-2374-2 |
| Product Code: | CBMS/14.E |
| List Price: | $30.00 |
| Individual Price: | $24.00 |
| eBook ISBN: | 978-1-4704-2374-2 |
| Product Code: | CBMS/14.E |
| List Price: | $30.00 |
| Individual Price: | $24.00 |
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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
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Chapters
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1. Introduction
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Chapter I. Some geometric properties of differential operators
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Chapter II. Spherical functions on symmetric spaces
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Chapter III. Conical distributions on the space of horocycles
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Chapter IV. Central eigendistributions and characters
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Reviews
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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
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
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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 \(H\).
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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 Harish-Chandra and the author. The common point of view in the treatment of these ... important examples is very interesting.
E. Thoma, Mathematical Reviews
