Analysis on Lie Groups and Homogeneous Spaces (CBMS Regional Conference Series in Mathematics)
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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: $T$ is an eigendistribution of each $D\in D(V)$; and $T$ is invariant under $H$.
Introduction Some geometric properties of differential operators Spherical functions on symmetric spaces Conical distributions on the space of horocycles Central eigendistributions and characters Bibliography.
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