Structure of Fourier and Fourier-Stieltjes coefficients of series with slowly varying convergence moduli

Stanojević, Časlav V.

doi:10.1090/S0273-0979-1988-15643-1

Structure of Fourier and Fourier-Stieltjes coefficients of series with slowly varying convergence moduli
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Bull. Amer. Math. Soc. 19 (1988), 283-286

References

Časlav V. Stanojević, Tauberian conditions for $L^{1}$-convergence of Fourier series, Trans. Amer. Math. Soc. 271 (1982), no. 1, 237–244. MR 648089, DOI 10.1090/S0002-9947-1982-0648089-2
William O. Bray and Časlav V. Stanojević, Tauberian $L^{1}$-convergence classes of Fourier series. I, Trans. Amer. Math. Soc. 275 (1983), no. 1, 59–69. MR 678336, DOI 10.1090/S0002-9947-1983-0678336-3
William O. Bray and Časlav V. Stanojević, Tauberian $L^1$-convergence classes of Fourier series. II, Math. Ann. 269 (1984), no. 4, 469–486. MR 766010, DOI 10.1007/BF01450761
G. A. Fomin, A class of trigonometric series, Mat. Zametki 23 (1978), no. 2, 213–222 (Russian). MR 487218
Časlav V. Stanojević and Vera B. Stanojevic, Generalizations of the Sidon-Telyakovskiĭ theorem, Proc. Amer. Math. Soc. 101 (1987), no. 4, 679–684. MR 911032, DOI 10.1090/S0002-9939-1987-0911032-2
Časlav V. Stanojević, $O$-regularly varying convergence moduli of Fourier and Fourier-Stieltjes series, Math. Ann. 279 (1987), no. 1, 103–115. MR 912840, DOI 10.1007/BF01456193
Henry Helson, Proof of a conjecture of Steinhaus, Proc. Nat. Acad. Sci. U.S.A. 40 (1954), 205–206. MR 61187, DOI 10.1073/pnas.40.3.205
Friedrich Riesz, Über eine Verallgemeinerung der Parsevalschen Formel, Math. Z. 18 (1923), no. 1, 117–124 (German). MR 1544624, DOI 10.1007/BF01192400
Lennart Carleson, On convergence and growth of partial sums of Fourier series, Acta Math. 116 (1966), 135–157. MR 199631, DOI 10.1007/BF02392815