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Coefficient properties of Fourier series with a gap condition

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References

  1. C. f. for exampleA. Zygmund, Trigonometric Series (Warsaw 1935).

  2. C. f. howeverA. Alexits “Sur la convergence des séries orthonormales lacunaires” Acta Sci. Math. Szeged13, 14–17 (1949).

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  3. Ch. de la Vallée Poussin: “Leçons sur l'approximation des fonctions d'une variable réelle”, p. 39 (Paris 1919).

  4. For the classical results C. f.Zygmund, loc. cit. ch. vi.

  5. Zygmund loc. cit., p. 135.

  6. Zygmund, loc. cit. 6.31.

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Authors and Affiliations

  1. Nottingham

    M. E. Noble

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  1. M. E. Noble
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Noble, M.E. Coefficient properties of Fourier series with a gap condition. Math. Ann. 128, 55–62 (1954). https://doi.org/10.1007/BF01360124

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  • DOI: https://doi.org/10.1007/BF01360124

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