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Continuations of Analytic Functions of Class S and Class U
Published online by Cambridge University Press: 22 January 2016
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Let f be of class U in Seidel’s sense ([4, p. 32], = “inner function” in [3, p. 62]) in the open unit disk D. Then f has, by definition, the radial limit f(eiθ) of modulus one a.e. on the unit circle K. As a consequence of Smirnov’s theorem [5, p. 64] we know that the function
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1970