Mean convergence of orthogonal series
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- by Jerome Newman and Walter Rudin PDF
- Proc. Amer. Math. Soc. 3 (1952), 219-222 Request permission
References
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S. Banach, Théorie des opérations linéaires, Warsaw, 1932.
- 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
- 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. II, Trans. Amer. Math. Soc. 63 (1948), 355–367. MR 23941, DOI 10.1090/S0002-9947-1948-0023941-X
- Harry Pollard, The mean convergence of orthogonal series. III, Duke Math. J. 16 (1949), 189–191. MR 28459 G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939.
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Additional Information
- © Copyright 1952 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 3 (1952), 219-222
- MSC: Primary 42.4X
- DOI: https://doi.org/10.1090/S0002-9939-1952-0047811-2
- MathSciNet review: 0047811