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ON THE COMPOSITION FORMULAS OF THE SOLUTIONS OF THE ULTRAHYPERBOLIC AND KLEIN-GORDON OPERATORS

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Reviata de la Uni6n Matematic:a Argentina
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unpublished

Let t = (tl,t2,"" t a) be a point of fl!l. We shall write t~+ ... +t!-t!+l-" .-t!+ .. = 2y1 u, p. + 11 = n. We put, by definition, Ra(u) = ;n(O); here 0 is a complex parameter, n the dimension of the space and the constant ](n(o) is defined by (1,2). Ro(u) is the Marcel Riesz' ultrahyperbolic kernel. The distributional kernel Ro(u) share many properties with the Riemann-Liouville kernel of which they are n-dimensional ultrahyperbolic analogues. In this pa.per we prove the following composition

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