Analysis on Lie groups and homogeneous spaces
Author(s)
Bibliographic Information
Analysis on Lie groups and homogeneous spaces
（Regional conference series in mathematics, no. 14）
Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 1977, c1972
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Note
"Reprinted with corrections, 1977"--T.p. verso
"Expository lectures from the CBMS regional conference held at Dartmouth College, August 1971"--T.p. verso
Bibliography: p. [61]-64
Description and Table of Contents
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 $H$.
Table of 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.
by "Nielsen BookData"
