On the Hilbert Space of Formal Power Series
Bahman Yousefi, Rahmat Soltani · Honam Mathematical Journal · 2004
Let be a sequence of positive numbers such that . We consider the space of all power series such that $^{Po}_{n=0}{\mid}{\hat{f}}(n){\mid}^2{\beta}(n)^2 and zero sets. We give some sufficient conditions for a vector in to be cyclic for the multiplication operator . Also we characterize the commutant of some multiplication operators acting on .