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Mean convergence of orthogonal series


Authors: Jerome Newman and Walter Rudin
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
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References [Enhancements On Off] (What's this?)

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  • [5] -, The mean convergence of orthogonal series. III, Duke Math. J. vol. 16 (1949) pp. 189-191. MR 0028459 (10:450d)
  • [6] G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939.
  • [7] G. N. Watson, A treatise on the theory of Bessel functions, 2d ed., Cambridge, 1944. MR 0010746 (6:64a)
  • [8] G. M. Wing, The mean convergence of orthogonal series, Amer. J. Math. vol. 72 (1950) pp. 792-808. MR 0037923 (12:329e)
  • [9] A. Zygmund, Trigonometrical series, Warsaw, 1935.

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DOI: https://doi.org/10.1090/S0002-9939-1952-0047811-2
Article copyright: © Copyright 1952 American Mathematical Society

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