Ridge wavelets on the ball

We present a ridge polynomial wavelet-type system on the unit ball in Rd such that any continuous function can be expanded with respect to these wavelets. The order of the growth of the degrees of polynomials is optimal. Coefficient functionals are the inner products of the function and the corresponding elements of a “dual wavelet system”. The “dual wavelets” is also a ridge polynomial system with the same growth of the degrees of polynomials. The system is redundant.