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

Tom 81 / 1999

Dominique Manchon Colloquium Mathematicum 81 (1999), 161-191 DOI: 10.4064/cm-81-2-161-191

Streszczenie

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.

Autorzy

  • Dominique Manchon

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek