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

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

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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 $H$.

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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