• [1] Richard P. Gosselin, On the convergence of Fourier series of functions in an 𝐿^{𝑝} class, Proc. Amer. Math. Soc. 7 (1956), 392–397. MR 0080796 (18,303d), http://dx.doi.org/10.1090/S0002-9939-1956-0080796-5
• [2] G. H. Hardy and J. E. Littlewood, Note on the theory of series. XXIII. On the partial sums of Fourier series, Proc. Cambridge Philos. Soc. 40 (1944), 103–107. MR 0010629 (6,47f)
• [3] S. Kacmarz and H. Steinhaus, Theorie der orthogonalreihen, New York, 1951.
• [4] J. E. Littlewood and R. E. A. C. Paley, Theorems on Fourier series and power series, II and III, Proc. London Math. Soc. vol. 42 (1937) pp. 52-89; vol. 43 (1937) pp. 105-126.
• [5] R. E. A. C. Paley, A remarkable series of orthogonal functions, Proc. London Math. Soc. vol. 34 (1932) pp. 241-279.
• [6] A. Zygmund, Proof of a theorem of Paley, Proc. Cambridge Philos. Soc. vol. 34 (1938) pp. 125-133.
• [7] -, On the convergence and summability of power series on the circle of convergence, Fund. Math. vol. 30 (1938) pp. 170-196.
• [8] -, Trigonometrical series, Warsaw, 1935.

Bibliography

[1]

R. P. Gosselin, On the convergence of Fourier series of functions in an class, Proc. Amer. Math. Soc. vol. 7, no. 3 (1956) pp. 392-397. MR 0080796 (18:303d)

[2]

G. H. Hardy and J. E. Littlewood, Notes on the theory of series (XXIII): On the partial sums of Fourier series, Proc. Cambridge Philos. Soc. vol. 40 (1944) pp. 103-107. MR 0010629 (6:47f)

[3]

S. Kacmarz and H. Steinhaus, Theorie der orthogonalreihen, New York, 1951.

[4]

J. E. Littlewood and R. E. A. C. Paley, Theorems on Fourier series and power series, II and III, Proc. London Math. Soc. vol. 42 (1937) pp. 52-89; vol. 43 (1937) pp. 105-126.

[5]

R. E. A. C. Paley, A remarkable series of orthogonal functions, Proc. London Math. Soc. vol. 34 (1932) pp. 241-279.

[6]

A. Zygmund, Proof of a theorem of Paley, Proc. Cambridge Philos. Soc. vol. 34 (1938) pp. 125-133.

[7]

-, On the convergence and summability of power series on the circle of convergence, Fund. Math. vol. 30 (1938) pp. 170-196.

[8]

-, Trigonometrical series, Warsaw, 1935.