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On the spectral synthesis of bounded functions

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Acta Mathematica

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Bibliographie

  1. As is easily proved this definition leads to the same Λϕ as that obtained by the stronger topology used by the author in a previous paper;Un Théorème sur les fonctions bornées..., Acta math. vol. 77, 1945.

  2. The result is to be published in C. R. de l'Academie des Sciences, vol. 227.

  3. SeeBeurling:Sur une classe de fonctions presque-périodiques, C. R. de l'Acad. des Sciences, t. 225, pp. 326–7, 1947.

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  4. SeeBeurling:Sur les intégrales de Fourier absolument conrergentes..., C.R. du congrès des mathématiques à Helsingfors 1938.

  5. For the general properties of these functions and their interesting connection with certain metrical problems in Hilbert space, see v.Neumann andSchoenberg:Fourier Integrals and Metric Geometry Transactions of the Amer. Math. Soc. V. 50, pp. 467–487, 1941.

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  6. Sur les spectres de fonctions, Conférence faite au Congrès sur l'Analyse harmonique à Nancy 1947, (unpublished but multigraphed).

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  1. Uppsala

    Arne Beurling

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  1. Arne Beurling
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Beurling, A. On the spectral synthesis of bounded functions. Acta Math. 81, 225–238 (1949). https://doi.org/10.1007/BF02395018

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  • DOI: https://doi.org/10.1007/BF02395018

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