On the generalization of the theorem of Helson and Szegö
On the generalization of the theorem of Helson and Szegö
1. Introduction and Theorem A.T denotes the unit circle, i .e. T=\{\zeta:|\zeta|=1\} while Z denotes the set of all integers.The normalized Lebesgue measure on T is denoted by m , i .e. dm( \zeta)=\frac{d\theta}{2\pi} for \zeta=e^{i\theta} .Let \chi stand for the identity function on T. i .e. \chi (\zeta)=\zeta .We …