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Issue ESAIM: Proc.
Volume 5, 1998
Fractional Differential Systems: Models, Methods and Applications
Page(s) 111 - 117
DOI http://dx.doi.org/10.1051/proc:1998001

ESAIM: Proc., 1998, Vol. 5, pp. 111-117
DOI: 10.1051/proc:1998001

Propagation dans les espaces de dimension paire

Jean Hardy1, Claude Depollier1 and Rozenn Nicol2

1  LAUM, UMR-CNRS 6613, IAM, avenue O. Messiaen, 72085 Le Mans cedex 9, France
2  CNET DIH/DIPS 2, avenue P. Marzin 22307 Lannion cedex, France


Résumé
On démontre une relation de récurrence reliant les fonctions de Green de la propagation libre entre les espaces dont les dimensions diffèrent de deux. Une relation reliant les dimensions différant de un fait naturellement apparaître un opérateur fractionnaire pour le cas des dimensions paires. On montre qu'un être sensible uniquement à l'ouie peut différencier les espaces pairs et impairs. Une démonstration sera faite en écoutant des signaux convolués avec les fonctions de Green jusqu'à la dimension cinq.



© EDP Sciences, ESAIM 1998


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