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Soit un réel de . Nous étudions le système d’équations de convolution suivant
Nous démontrons que les exponentielles polynômes solutions de sont denses dans l’espace des solutions du système d’équations; l’idéal de engendré par les transformées de Fourier des deux mesures intervenant ici est “slowly decreasing” au sens de Berenstein-Taylor. Lorsque n’est pas un nombre de Liouville, nous montrons qu’il existe un ouvert relativement compact telle que toute solution...
Our objective is to construct residue currents from Bochner-Martinelli type kernels; the computations hold in the non complete intersection case and provide a new and more direct approach of the residue of Coleff-Herrera in the complete intersection case; computations involve crucial relations with toroidal varieties and multivariate integrals of the Mellin-Barnes type.
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