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Comptes Rendus Mathématique
Volume 347, n° 23-24
pages 1351-1354 (décembre 2009)
Doi : 10.1016/j.crma.2009.10.028
Received : 7 April 2009 ;  accepted : 28 October 2009
Flatness of distributions vanishing on infinitely many hyperplanes
Platitude des distributions s’annulant sur une infinité d’hyperplans
 

Jan Boman
Department of Mathematics, Stockholm University, SE 10691, Stockholm, Sweden 

Abstract

Let   be a family of hyperplanes in   and let   be a limiting hyperplane of  . Let u be a distribution that satisfies a natural wave front condition and has vanishing restrictions to   for all  . Then u must be flat at  . To cite this article: J. Boman, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.
Résumé

Soit   une famille d’hyperplans dans   et soit   un hyperplan limite de  . Si u est une distribution satisfaisant à une condition naturelle portant sur le front d’onde et qui s’annule sur   pour tout  , alors u est plate sur  . Pour citer cet article : J. Boman, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.


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