Convergence in variation of the laws of multiple stable integrals

Multiple stable integrals generalize Wiener–Itô integrals, their construction being based upon a generalized LePage representation. This approach allows one to study their behaviour. We are interested in this Note in the continuity for total variation norm of the laws of these integrals I_d(f) with respect to f. To cite this article: J.-C. Breton, C. R. Acad. Sci. Paris, Ser. I 338 (2004).