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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Fourier series with positive coefficients

Author(s): R. P. Boas Jr.
Journal: Bull. Amer. Math. Soc. 72 (1966), 863-865.
MathSciNet review: 0198098
Retrieve article in: PDF

References | Additional information

References:

1.
R. P. Boas, Jr., Integrability of trigonometric series. 111, Quart. J. Math. Oxford Ser. (2) 3 (1952), 217-221. MR 54071
2.
R. P. Boas, Jr., On the integrability of functions defined by trigonometrical series, Math Z. 66 (1956), 9-12. MR 80794
3.
Y.-M. Chen, Some asymptotic properties of Fourier constants and integrability theorems, Math. Z. 68 (1957), 227-244. MR 92893
4.
S. M. Edmonds, The Parseval formulae for monotonic functions. II, Proc. Cambridge Philos. Soc. 46 (1950), 231-248. MR 34468
5.
G. H. Hardy and W. W. Rogosinski, Fourier series, Cambridge Univ. Press, New York, 1944. MR 10206
6.
P. Heywood, On the integrability of functions defined by trigonometric series, Quart. J. Math. Oxford Ser. (2) 5 (1954), 71-76. MR 62864
7.
G. G. Lorentz, Fourier-Koeffizienten und Funktionenklassen, Math. Z. 51 (1948), 135-149. MR 25601
8.
G. Sunouchi, Integrability of trigonometric series, J. Math. Tokyo 1 (1953), 99-103. MR 64181
9.
O. Szász, On the partial sums of certain Fourier series, Amer. J. Math. 59 (1937), 696-708. MR 1507273
10.
A. Zygmund, Trigonometric series, 2d ed., Vol. 1, Cambridge Univ. Press, New York, 1959. MR 107776


Additional Information:

DOI: 10.1090/S0002-9904-1966-11590-2
PII: S 0002-9904(1966)11590-2




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