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Front d'onde et propagation des singularites pour un vecteur-distribution

Dominique Manchon
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Abstract

Nous definissons le front d'onde d'un vecteur-distribution pour une representation unitaire d'un groupe de Lie reel $G$ a l'aide du calcul pseudo-differentiel mis au point dans un travail anterieur. Cette notion precise celle de front d'onde d'une representation introduite par R. Howe. En application nous donnons une condition suffisante pour qu'un vecteur-distribution reste un vecteur-distribution pour la restriction de la representation a un sous-groupe ferme $H$, et nous donnons un theoreme de propagation des singularites pour les vecteurs-distribution.

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BibTeXRIS

Dominique Manchon. 1998-12-09. Front d'onde et propagation des singularites pour un vecteur-distribution. https://arxiv.org/abs/math/9811010

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