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L’opérateur de Casimir de $$SL(3,{\mathbb{R}})$$. (English) Zbl 0543.22006
Author’s abstract: ”Let $$G=SL(2,{\mathbb{R}})$$ and $$\omega$$ be its Casimir operator. We compute explicitly a fundamental solution of $$\omega$$ and we prove that there is no central elementary solution. We characterize the image by $$\omega$$ of the space of central and $$C^{\infty}$$ maps defined on G.”
Reviewer: T.Jørgensen

##### MSC:
 22E30 Analysis on real and complex Lie groups 43A80 Analysis on other specific Lie groups 35A08 Fundamental solutions to PDEs 22E46 Semisimple Lie groups and their representations
##### Keywords:
Casimir operator; fundamental solution
Full Text:
##### References:
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