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math.CV2016
Radial limits and boundary uniqueness
Arthur A. Danielyan
The paper sheds a new light on the fundamental theorems of complex analysis due to P. Fatou, F. and M. Riesz, N. N. Lusin, I. I. Privalov, and A. Beurling. Only classical tools ava…
math.CV2016
Rubel's problem on bounded analytic functions
Arthur A. Danielyan
The paper shows that for any set of Lebesgue measure zero on the unit circle there exists a function such that the radial limits of exist at ea…