» amen/ Two Special Convolution Products of (n=2 ¡ k ¡ 1)-th Derivatives of Dirac Delta in Hypercone ¤

In this paper two special convolution products ±(n=2 ¡ k ¡ 1)(u) ¤ ±(n=2 ¡ l ¡ 1)(u) and ±(n=2 ¡ k ¡ 1)(m2 + u) ¤ ±(n=2 ¡ l ¡ 1)(m2 + u) are expressed in terms of several known quantities. Let x = (x1;x2;:::xn) be a point of R n: We shall write x21 +::: + x 2 ¡ x2 +1 ¡:::x2 +º = u; (1) where + º = n. ¡+ denotes the interior of the forward cone ¡+ = fx 2 Rnj x1> 0; u> 0g; (2) and ¡+ denotes its closure. Similarly, ¡ ¡ denotes the domain ¡ ¡ = fx 2 Rnj x1 < 0; u> 0g (3) and ¡ ¡ denotes its closure. Let F (¸) be a function of the scalar variable ¸ , and let © = © (x) be a function endowed with the following properties: (i) © (x) = F (u); (ii) supp © (x) ¡+ and (iii) ehx;yi © (x) 2 L1 if y 2 V ¡ ; wher