The mean convergence of orthogonal series. II
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- by Harry Pollard
- Trans. Amer. Math. Soc. 63 (1948), 355-367
- DOI: https://doi.org/10.1090/S0002-9947-1948-0023941-X
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References
- G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23, New York, 1939.
M. Riesz, Sur les fonctions conjugées, Math. Zeit. vol. 27 (1927) pp. 218-244.
- Harry Pollard, The mean convergence of orthogonal series. I, Trans. Amer. Math. Soc. 62 (1947), 387–403. MR 22932, DOI 10.1090/S0002-9947-1947-0022932-1
- Harry Pollard, The mean convergence of orthogonal series of polynomials, Proc. Nat. Acad. Sci. U.S.A. 32 (1946), 8–10. MR 14499, DOI 10.1073/pnas.32.1.8 S. Banach, Théorie des opérations linéaires, Warsaw, 1933. S. Bernstein, Sur les polynômes orthogonaux relatifs à un Ṡegment fini, Journal de Mathématiques (9) vol. 9 (1930) pp. 127-177; vol. 10 (1931) pp. 219-286. E. C. Titchmarsh, The Fourier integral, Oxford, 1937.
- J. A. Shohat and J. D. Tamarkin, The Problem of Moments, American Mathematical Society Mathematical Surveys, Vol. I, American Mathematical Society, New York, 1943. MR 0008438
Bibliographic Information
- © Copyright 1948 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 63 (1948), 355-367
- MSC: Primary 42.4X
- DOI: https://doi.org/10.1090/S0002-9947-1948-0023941-X
- MathSciNet review: 0023941