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Bounded analytic functions and absolutely continuous measures. (English) Zbl 0188.44904

##### MSC:
 46-XX Functional analysis
##### Keywords:
functional analysis
Full Text:
##### References:
 [1] Leon Brown, Allen Shields, and Karl Zeller, On absolutely convergent exponential sums, Trans. Amer. Math. Soc. 96 (1960), 162 – 183. · Zbl 0096.05103 [2] Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1962. · Zbl 0734.46033 [3] Jean-Pierre Kahane, Another theorem on bounded analytic functions, Proc. Amer. Math. Soc. 18 (1967), 827 – 831. · Zbl 0188.45001 [4] Analytic function theory, (Sympos. on Analytic Function Theory, Univ. of Kentucky, 1965), Bull. Amer. Math. Soc. 71 (1965), 855-857. [5] L. A. Rubel and A. L. Shields, The space of bounded analytic functions on a region, Ann. Inst. Fourier (Grenoble) 16 (1966), no. fasc. 1, 235 – 277. · Zbl 0152.13202 [6] Hugo Steinhaus, Additive und stetige Funktionaloperationen, Math. Z. 5 (1919), no. 3-4, 186 – 221 (German). · JFM 47.0384.01 · doi:10.1007/BF01203518 · doi.org [7] A. E. Taylor, Banach spaces of functions analytic in the unit circle. II, Studia Math. 12 (1951), 25 – 50. · Zbl 0042.35703 [8] A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. · Zbl 0085.05601
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