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Pollard, Harry

The convergence almost everywhere of Legendre series. (English) Zbl 0266.42011

Proc. Am. Math. Soc. 35, 442-444 (1972).
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Cited in 9 Documents

MSC:

42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
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References:

[1] Marcel Riesz, Sur les fonctions conjuguées, Math. Z. 27 (1928), no. 1, 218 – 244 (French). · JFM 53.0259.02 · doi:10.1007/BF01171098
[2] Harry Pollard, The mean convergence of orthogonal series. I, Trans. Amer. Math. Soc. 62 (1947), 387 – 403. · Zbl 0040.32202
[3] Jerome Newman and Walter Rudin, Mean convergence of orthogonal series, Proc. Amer. Math. Soc. 3 (1952), 219 – 222. · Zbl 0046.29402
[4] Richard A. Hunt, On the convergence of Fourier series, Orthogonal Expansions and their Continuous Analogues (Proc. Conf., Edwardsville, Ill., 1967) Southern Illinois Univ. Press, Carbondale, Ill., 1968, pp. 235 – 255.
[5] G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ., vol. 23, Amer. Math. Soc., Providence, R.I., 1939. MR 1, 14. · JFM 65.0278.03
[6] Benjamin Muckenhoupt, Equiconvergence and almost everywhere convergence of Hermite and Laguerre series, SIAM J. Math. Anal. 1 (1970), 295 – 321. · Zbl 0201.08501 · doi:10.1137/0501027
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