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Continuations of Analytic Functions of Class S and Class U

Published online by Cambridge University Press:  22 January 2016

Shinji Yamashita
Shinji Yamashita*
Affiliation:
Mathematical Institute, Tδhoku University, Sendai 980, Japan
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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

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 40 , December 1970 , pp. 33 - 37
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

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