Smootheness of functions generated by Riesz products
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- by Peter L. Duren
- Proc. Amer. Math. Soc. 16 (1965), 1263-1268
- DOI: https://doi.org/10.1090/S0002-9939-1965-0185057-7
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References
- P. L. Duren, H. S. Shapiro, and A. L. Shields, Singular measures and domains not of Smirnov type, Duke Math. J. 33 (1966), 247–254. MR 199359, DOI 10.1215/S0012-7094-66-03328-X
- George Piranian, Two monotonic, singular, uniformly almost smooth functions, Duke Math. J. 33 (1966), 255–262. MR 199320
- Friedrich Riesz, Über die Fourierkoeffizienten einer stetigen Funktion von beschränkter Schwankung, Math. Z. 2 (1918), no. 3-4, 312–315 (German). MR 1544321, DOI 10.1007/BF01199414
- Antoni Zygmund, On lacunary trigonometric series, Trans. Amer. Math. Soc. 34 (1932), no. 3, 435–446. MR 1501647, DOI 10.1090/S0002-9947-1932-1501647-3 —, Trigonometric series, Vol. I, 2nd ed., Cambridge Univ. Press, Cambridge, 1959.
Bibliographic Information
- © Copyright 1965 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 16 (1965), 1263-1268
- MSC: Primary 26.30; Secondary 40.42
- DOI: https://doi.org/10.1090/S0002-9939-1965-0185057-7
- MathSciNet review: 0185057