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Structure of Fourier and Fourier-Stieltjes coefficients of series with slowly varying convergence moduli
Author(s):
Časlav V.
Stanojević
Journal:
Bull. Amer. Math. Soc.
19
(1988),
283-286.
MSC (1985):
Primary 42A20, 42A32
MathSciNet review:
940488
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Additional information
References:
- 1.
- Č. V. Stanojević, Tauberian conditions for the L1-convergence of Fourier series, Trans. Amer. Math. Soc. 271 (1982), 237-244. MR 648089
- 2.
- W. O. Bray and Č. V. Stanojević, Tauberian L1-convergence classes of Fourier series. I, Trans. Amer. Math. Soc. 275 (1983), 59-69. MR 678336
- 3.
- W. O. Bray and Č. V. Stanojević, Tauberian L1-convergence classes of Fourier series. II, Math. Ann. 269 (1984), 469-486. MR 766010
- 4.
- S. Sidon, Hinreichende Bedingungen fur den Fourier Charakter einer Trigonometrischen Reihe, J. London Math. Soc. (2) 14 (1939), 158-160.
- 5.
- S. A. Telyakovskii, On a sufficient condition of Sidon for the integrability of trigonometric series, Math. Notes 14 (1973), 742-748.
- 6.
- G. A. Fomin, A class of trigonometric series, Math. Notes 23 (1978), 117-124. MR 487218
- 7.
- Č. V. Stanojević and V. B. Stanojević, Generalizations of the Sidon-Telyakovskii Theorem, Proc. Amer. Math. Soc. 101 (1987), 679-684. MR 911032
- 8.
- Č. V. Stanojević, O-Regularly varying convergence moduli of Fourier and Fourier-Stieltjes series, Math. Ann. 279 (1987), 103-115. MR 912840
- 9.
- H. Helson, Proof of a conjecture of Steinhaus, Proc. Nat. Acad. Sci. U.S.A. 40 (1954), 205-206. MR 61187
- 10.
- F. Riesz, Über eine Verallgemeinerung des Parsevalschen Formel, Math. Z. 18 (1923), 117-124. MR 1544624
- 11.
- L. Carleson, On convergence and growth of partial sums of Fourier series, Acta Math. 116 (1966), 135-157. MR 199631
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Additional Information:
DOI:
10.1090/S0273-0979-1988-15643-1
PII:
S 0273-0979(1988)15643-1
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