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An application of Fourier-Stieltjes transforms in approximation theory

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References

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    Beurling, A.: Sur les Intégrales de Fourier absolument convergentes et leur Application à une Transformation fonctionnelle. Neuvième Congrès des Mathématiciens Scandinaves, Helsingfors 1938, 345–366.

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    Bochner, S.: A Theorem on Fourier-Stieltjes Integrals. Bull. Amer. Math. Soc. 40, 271–276 (1934).

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    Butzer, P. L.: Sur le rôle de la Transformation de Fourier dans quelques prob- lèmes d'approximation. C. R. Acad. Sci. Paris 249, 2467–2469 (1959).

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    Butzer, P. L.: Fourier-Transform Methods in the Theory of Approximation. Arch. rational Mech. Anal. 5, 390–415 (1960).

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    König, H.: Einige Eigenschaften der Fourier-Stieltjes Transformation. (To appear in Arch. Math.)

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    Phillips, R. S.: On Fourier-Stieltjes Integrals. Trans. Amer. Math. Soc. 69, 312–323 (1950).

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    Titchmarsh, E. C.: Introduction to the Theory of Fourier Integrals, second ed. Oxford 1948.

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Communicated by C. Müller

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Butzer, P.L., König, H. An application of Fourier-Stieltjes transforms in approximation theory. Arch. Rational Mech. Anal. 5, 416–419 (1960). https://doi.org/10.1007/BF00252918

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Keywords

  • Electromagnetism
  • Approximation Theory