TAYLOR-TYPE EXPANSION OF THE k-TH DERIVATIVE OF THE DIRAC DELTA IN u(x1, ...xn)− t

We obtain an expansion of Taylor style of the distribution δ(u(x1, ...xn)− t) where u(x1, ...xn) ∈ C∞(Rn) without critical points and t is a real number. In particular, we obtain the expansion of the distribution δ(P + m)(see ([3]), ([4]) and ([5])), where m is a positive real number and P = P (x) = x1 +x 2 2 + ...x 2 p−xp+1− ...−xp+q, p+ q = n dimension of the space. AMS Mathematics Subject Classification (1991): 46F10, 46F12