Approximation by bounded analytic functions to functions represented by Dirichlet series
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- by J. P. Evans and J. L. Walsh PDF
- Proc. Amer. Math. Soc. 12 (1961), 875-879 Request permission
References
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V. Bernstein, Leçons sur les progrès récents de la théorie des séries de Dirichlet, Paris, Gauthier-Villars, 1933.
- Gustav Doetsch, Über die obere Grenze des absoluten Betrages einer analytischen Funktion auf Geraden, Math. Z. 8 (1920), no. 3-4, 237–240 (German). MR 1544441, DOI 10.1007/BF01206529
- E. N. Nilson and J. L. Walsh, Interpolation and approximation by functions analytic and bounded in a given region, Trans. Amer. Math. Soc. 55 (1944), 53–67. MR 9196, DOI 10.1090/S0002-9947-1944-0009196-7 J. L. Walsh, On interpolation and approximation by functions analytic and bounded in a given region, Proc. Nat. Acad. Sci. U.S.A. vol. 24 (1938) pp. 477-486.
- J. L. Walsh and J. P. Evans, On approximation by bounded analytic functions, Arch. Math. (Basel) 5 (1954), 191–196. MR 62224, DOI 10.1007/BF01899337
Additional Information
- © Copyright 1961 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 12 (1961), 875-879
- MSC: Primary 30.70
- DOI: https://doi.org/10.1090/S0002-9939-1961-0140695-9
- MathSciNet review: 0140695