Analysis on Lie Groups and Homogeneous Spaces
Sigurdur Helgason · Conference Board of the Mathematical Sciences
Dec 1972 · Conference board of the mathematical sciences: Regional conference series in mathematics Book 14 · American Mathematical Soc.
Ebook
64
Pages
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About this ebook
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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