A(-INFINITY)-INTERPOLATION IN THE BALL

We give a necessary and sufficient condition for a sequence {a(k)}(k) in the unit ball of C-n to be interpolating for the class A(-infinity) of holomorphic functions with polynomial growth. The condition, which goes along the lines of the ones given by Berenstein and Li for some weighted spaces of entire functions and by Amar for H-infinity functio ns in the ball, is given in terms of the derivatives of m greater than or equal to n functions F-1,..., F-m is an element of A(-infinity) va nishing On {a(k)}(k).