Boundary convergence and boundary limits of Blaschke products
C. N. Linden · Proceedings of the American Mathematical Society · 1980
For a given countable subset γ \gamma of the unit circle, a method is given for the construction of Blaschke products B ( z , A ) B(z,A) which converge at all points of γ \gamma and which, for each point e i φ {e^{i\varphi }} of γ \gamma , either (a) have no asymptotic value at e i φ {e^{i\varphi }} or (b) have an asymptotic value at e i φ {e^{i\varphi }} not equal to B ( e i φ , A ) B({e^{i\varphi }},A) .