No title
Let Hd2 be the Drury–Arveson space, and let f∈Hd2 have bounded argument and no zeros in Bd. We show that f is cyclic in Hd2 if and only if logf belongs to the Pick-Smirnov class N+(Hd2). Furthermore, for non-vanishing functions f∈Hd2 with bounded argument and H∞-norm less than 1, cyclicity can also be tested via iterated logarithms. For example, we show that f is cyclic if and only if log(1+log(1∕
