Analysis on Lie Groups and Homogeneous Spaces (CBMS Regional Conference Series in Mathematics No. 14)

Analysis on Lie Groups and Homogeneous Spaces (CBMS Regional Conference Series in Mathematics No. 14)

By: S. Helgason (author)Paperback

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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 $H$.

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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

  • publication date: 15/12/1972
  • ISBN13: 9780821816646
  • Format: Paperback
  • Number Of Pages: 64
  • ID: 9780821816646
  • weight: 170
  • ISBN10: 0821816640

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