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A asymptotic analog of the F. and M. Riesz radial uniqueness theorem.


Authors: K. F. Barth and W. J. Schneider
Journal: Proc. Amer. Math. Soc. 22 (1969), 53-54
MSC: Primary 30.62
DOI: https://doi.org/10.1090/S0002-9939-1969-0247095-9
MathSciNet review: 0247095
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  • [1] K. F. Barth and W. J. Schneider, On the impossibility of extending the Riesz uniqueness theorem to functions of slow growth, Ann. Acad. Sci. Fenn. Ser. A.I 432 (1968). MR 0247092 (40:361)
  • [2] A. Beurling, Ensembles exceptionnels, Acta Math. 72 (1940), 1-13. MR 0001370 (1:226a)
  • [3] K. Hoffman, Banach spaces of analytic functions, Prentice-Hall, Englewood Cliffs, N. J., 1962. MR 0133008 (24:A2844)
  • [4] I. I. Priwalow, Randeigenschaften analytischer Funktionen, 2nd ed., VEB Deutscher Verlag, Berlin, 1956. MR 0083565 (18:727f)
  • [5] W. J. Schneider, ``On the growth of entire functions along half rays'' in Entire functions and related parts of analysis, Proc. Sympos. Pure Math., Vol. 11, Amer. Math. Soc., Providence, R. I., 1968. MR 0233982 (38:2303)

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DOI: https://doi.org/10.1090/S0002-9939-1969-0247095-9
Article copyright: © Copyright 1969 American Mathematical Society

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