A asymptotic analog of the F. and M. Riesz radial uniqueness theorem.
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- by K. F. Barth and W. J. Schneider PDF
- Proc. Amer. Math. Soc. 22 (1969), 53-54 Request permission
References
- 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 No. 432 (1968), 9. MR 0247092
- Arne Beurling, Ensembles exceptionnels, Acta Math. 72 (1940), 1–13 (French). MR 1370, DOI 10.1007/BF02546325
- Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0133008
- I. I. Priwalow, Randeigenschaften analytischer Funktionen, Hochschulbücher für Mathematik, Band 25, VEB Deutscher Verlag der Wissenschaften, Berlin, 1956 (German). Zweite, unter Redaktion von A. I. Markuschewitsch überarbeitete und ergänzte Auflage. MR 0083565
- W. J. Schneider, On the growth of entire functions along half rays, Entire Functions and Related Parts of Analysis (Proc. Sympos. Pure Math., La Jolla, Calif., 1966) Amer. Math. Soc., Providence, R.I., 1968, pp. 377–385. MR 0233982
Additional Information
- © Copyright 1969 American Mathematical Society
- 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