Some theorems on $L^{p}$ Fourier series
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- by Richard P. Gosselin PDF
- Trans. Amer. Math. Soc. 92 (1959), 291-301 Request permission
References
- 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 80796, DOI 10.1090/S0002-9939-1956-0080796-5
- 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 10629, DOI 10.1017/s0305004100018223 S. Kacmarz and H. Steinhaus, Theorie der orthogonalreihen, New York, 1951. 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. R. E. A. C. Paley, A remarkable series of orthogonal functions, Proc. London Math. Soc. vol. 34 (1932) pp. 241-279. A. Zygmund, Proof of a theorem of Paley, Proc. Cambridge Philos. Soc. vol. 34 (1938) pp. 125-133. —, On the convergence and summability of power series on the circle of convergence, Fund. Math. vol. 30 (1938) pp. 170-196. —, Trigonometrical series, Warsaw, 1935.
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 92 (1959), 291-301
- MSC: Primary 42.00
- DOI: https://doi.org/10.1090/S0002-9947-1959-0111975-3
- MathSciNet review: 0111975