Discrete nature of multivariate Paley-Wiener space

Eoff proves that the univariate Paley-Wiener space B-pi,B-p(R) is isomorphic to the discrete Hardy space H-p(Z), 0<pless than or equal to1, and our previous work shows that there are analogous results for multivariate Paley-Wiener space B-pi,B-p(R-n), if p = 1. In this paper, we continue our research and prove that the multivariate Paley-Wiener space B-pi,B-p(R-n) is isomorphic to the discrete Hardy space H-p(Z(n)), 0<p<1, which closes the gap of our and Eoff's results.