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Title

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

Authors 1

Affiliations

  1. Institut Elie Cartan, Université Henri Poincaré, CNRS - INRIA BP 239, 54506 Vandœ uvre-lès-Nancy Cedex, France

Abstract

We define the wave front set of a distribution vector of a unitary representation in terms of pseudo-differential-like operators [M2] for any real Lie group G. This refines the notion of wave front set of a representation introduced by R. Howe [Hw]. We give as an application a necessary condition so that a distribution vector remains a distribution vector for the restriction of the representation to a closed subgroup H, and we give a propagation of singularities theorem for distribution vectors.

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Colloquium Mathematicum
1999/81/2
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Pages:
161-191
Main language of publication
English
Received
1998-11-16
Accepted
1998-12-07
Published
1999
Exact and natural sciences